If A:B = 4:5, B:C = 6:7 and C:D = 14:15, find A:D?

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Nagesh Guledagudda

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(B/C ) * (C/D)= (6/7) * (14/15) => B/D = 4/5 => (A/B)*(B/D)=(4/5)*(4/5) => A/D = 16/25.
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(A/B) * (B/C) = (4/5) * (6/7) (A/C) = (4* 6)/(5*7) = 24/35 (A/C) * (C/D) = (24/35) * (14/15) (A/D) = 336/525 = 16/25 Therefore, A : D = 16 : 25.
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Given that A:B = 4:5, B:C = 6:7 and C:D = 14:15. Therefore, A/B =4/5; B/A = 6/7; C/D = 14/15 We can write A/D as A/D = A/B * B/C *C/D = 4/5 * 6/7 * 14/15 = 16/25 Thus, A : D = 16 : 25.
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