Find $A : B : C$ if $4 A = 5 B = 6 C$ .

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Solution

Find $A : B : C,$ If $4 A = 5 B = 6 C$
let $4 A = 5 B = 6 C = K$
$A = \frac{K}{4}, B = \frac{K}{5}, C = \frac{K}{6}$
$A : B : C = \frac{K}{4} : \frac{K}{5} : \frac{K}{6}$
$= 15 K : 12 K : 10 K$
$A : B : C = 15 : 12 : 10$

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