Question
If m : n = 4 : 9 and n : s : 3 : 7, find m : s

Answer


$\begin{aligned} & \mathrm{m}: \mathrm{n}=4: 9 \\ & \frac{\mathrm{m}}{\mathrm{n}}=\frac{4}{9} \\ & \text { and } \mathrm{n}: \mathrm{s}: 3: 7 \\ & \therefore \frac{\mathrm{n}}{\mathrm{s}}=\frac{3}{7} \\ & \therefore \frac{\mathrm{m}}{\mathrm{n}} \times \frac{\mathrm{n}}{\mathrm{s}}=\frac{4}{9} \times \frac{3}{7} \\ & \mathrm{~m}: \mathrm{s}=4: 21\end{aligned}$

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