Question

please answer this question I will mark you as brainliest(please answer by solving in Notebook)​

Answer 1

Answer:

Given :

a : b : : c : d

Here , product of extremes = product of means.

Therefore, ad = bc

$\frac{4a + 7b}{4c + 7d} = \frac{b}{d} \\ \\ After \: cross \: multiplication \: we \: get, \: \\ \\ d(4a + 7b) = b(4c + 7d) \\ \\ 4ad + 7bd = 4bc + 7bd \\ \\ We \: know \: that \: ad = bc \\ Hence, \: 4bc + 7bd = 4bc + 7bd \\ \\ LHS \: = RHS.$