3^x=4^y=12^z then find the ratio of x and z
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Here is the shortcut to find the ratio x:y:z , given 3x=4y=12z.
All you need to do is find x,y & z independently.
To find x:
Multiply the coefficients of y & z.
That is, 4 x 12 = 48, this is the value of x.
To find y:
Multiply the coefficients of z & x.
That is, 12 x 3 = 36 , this is the value of y.
To find z:
Multiply the coefficients of x & y.
That is, 3 x 4 =12, this is the value of z.
Therefore, x: y:z = 48:36:12
After simplification, we get x:y:z=4:3:1
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I think this is the answer to your question
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