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If $$ab=ba, \ \frac bx = \frac cz \quad\text{ and }\quad\frac ax = \frac dz$$ does that mean that $ac=bd $? I tried to prove this but couldn't.

Lorenzo B.
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ashen one
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    What sort of things are $a,b,c,d$? The fact that you mention $ab=ba$ suggests that these aren't ordinary numbers. – lulu Apr 09 '18 at 18:18

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If $\frac{a}{x}=\frac{d}{z}$, then $\frac{x}{a}=\frac{z}{d}$.

Now multiplying the equations together gives: $\frac{b}{x} \cdot \frac{x}{a}=\frac{c}{z} \cdot \frac{z}{d}$

$\frac{b}{a}=\frac{c}{d}$

See if you can proceed from here...

randomgirl
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