Find the value of $x$ in each of the following:
(ii) $75 : 15 = x : 7$

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Solution

Calculate the value of $x$ :
The given proportional is equivalent to
$\frac{75}{15} = \frac{x}{7} \Rightarrow 75 \cdot 7 = 15 \cdot x (C r o s s m u l t i p l y i n g b o t h s i d e s) \Rightarrow \frac{75 \cdot 7}{15} = x (D i v i d i n g b o t h s i d e s b y 15) \Rightarrow x = 5 \cdot 7 \Rightarrow x = 35$
Final answer: The value of $x$ is 35.

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