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Determine if the following are in proportion.4 , 6 , 8 , 12
Given :
The given numbers are 4 , 6 , 8 , 12.
To find :
We have to find whether 4,6,8,12 are in proportion.
Solution :
If a, b, c, d are in proportion then,
$\frac{a}{b} = \frac{c}{d}$
Therefore,
To check whether 4,6,8,12 are in proportion, we have to divide 6 by 4 and 12 by 8
and see if the ratios are equal.
$\frac{4}{6} = \frac{2\times2}{2\times3} = \frac{2}{3}$
$\frac{8}{12} = \frac{2\times4}{3\times4} = \frac{2}{3}$
Therefore, 4,6,8,12 are in proportion.
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