Mathematical proportion problem

1.8x=y/3 x:y=( 1):(24)

2. Consider the relationship between two nonzero natural numbers and their greatest common factor and least common multiple.

3. The shadow area is 1/6 of a circle and110 of a square. Find the area ratio of a circle and a square.

S Yin = 1/6S circle, S Yin =110s positive.

So 1/6S circle =110s is positive.

S circle: S positive = 3: 5.

4. There are two groups of numbers, A and B. The average number of group A is 84, and the average number of group B is 140. The average numbers of these two groups are 1 16. Find out the quantitative ratio between group A and group B. ..

Suppose group a has x number and group b has y number.

Then. 84X+ 140Y = 1 16(X+Y)

Arranged as follows: 24Y=32X

X:Y=24:32=3:4

The Bird's Nest is 333 meters long from north to south, 294 meters long from east to west and 69 meters high, covering an area of 258,000 square meters. There are 80,000 fixed seats and 1 1 10,000 temporary seats. Master Zhang, a folk craftsman, plans to make a bird's nest model for more people to enjoy. He imagined that the ratio of the model size to the original size was 1:30. How long is the model from north to south, from east to west, and from high to high?

The north-south length of the model is 333×1/30 =11.1m.

The east-west length is 294×1/30 = 9.8m.

The height is 69×1/30 = 2.3m.

6.(6):3=0.6:(0.3) (0.2)/ 1.2=(0. 1)/0.6

(0.4):0.8=(2.5):5 ( 1.2)/0.4= 1.5/(0.5)

Note: The numbers in brackets are not unique.

7. Use three factors of 25 and a fraction to form a proportion.

1:25= 1/5:5

8. If the two sides of 2, the cube of 2 and 2 are proportional to the n side of 2, what is n? Write down the proportion of the composition. (n is a natural number greater than 3)

2:2^2=2^3:2^n

n=3×2=6

9. One ratio is 6:4= 1/2: 1/3. If the third item is multiplied by 4 from left to right, how much ratio should the second item be changed to still hold?

6:4= 1/2: 1/3 6:4×4= 1/2× 1/4: 1/3

10. The ratio is 8:20=0.2:0.5. If the first item is increased by 4 from left to right, how much proportion should the second item be changed?

8:20=0.2:0.5 8+4:20+( 10)= 0.2:0.5

1 1. If the following four numbers can form a proportion, what are the possibilities of A? How did you get it?

0.6 4 3 A

If 0.6: 3 = A: 4, then A=0.8.

The rest of the analogy, there are four results.

12. Known 2.2:2=5.5:5. Please use the basic nature of the ratio to test whether the following items are true.

(2.2+2):2=(5.5+5):5

(2.2+4):2=(5.5+ 10):5

(2.2-2):2=(5.5-5):5

(2.2+2008):2=(5.5+5020):5