Given that \( 3 x+10 \) has to \( 9 x+4 \) the duplicate ratio of 5 to 7 , find \( x \). If \( a...

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Given that \( 3 x+10 \) has to \( 9 x+4 \) the duplicate ratio of 5 to 7 , find \( x \). If \( a, b, c, d \) are in proportion, show that
\[
(a-b)-(c-d)=\frac{(a-b)(b-d)}{b}
\]
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