Solution: Let the height of ten thousand math books stacked together be x meters.
Then according to the meaning of the question, the proportional equation can be listed as,
10/6= 10000/x
10x=6x 10000
X=6000 cm
6000 cm =6000÷ 100 m =60 m.
That is, the thickness of 1 10,000 pieces of plywood is 60 meters.
Extended data:
1, classification of proportion
(1) in direct proportion
Two related quantities, one variable and the other variable. If the ratio (quotient) of two corresponding numbers in two quantities is certain, these two quantities are called proportional quantities, and their relationship is called proportional relationship. It can be expressed by y=kx(k is a constant value).
(2) Inverse ratio
Two related quantities, one variable and the other variable. If the product of two corresponding numbers in two quantities is constant, these two quantities are called inverse proportional quantities, and their relationship is called inverse proportional relationship. It can be expressed by xy=k (k is a constant value).
2, the nature of the proportion
If a:b=c:d(a, b, c, d≠0), the ratio has the following properties.
Basic properties of (1) ratio
Ad=bc, that is, the product of two external terms is equal to the product of two internal terms.
(2)? Commutation law
Exchange comparison, the result is still equal, that is, b:a=d:c,? a:c=b:d、c:a=d:b
(3) Association Law
a:(a+b)=c:(c+d) ( a+b≠0，c+d≠0)，(a-b):(a+b)=(c-d):(c+d) ( a+b≠0，c+d≠0)
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