Question

4:6 = 6 : x , then find the value of x​

Answer 1

Step-by-step explanation:

$inferring \\ \: 4:6 = 6:x \\ 4:6 = 6:x \: \\ means \: that \: 4:6 = 6:x \\ and \: this \: is \: what \: we \: say \: proportion \\ and \: sign \: of \: proportion \: is :: \\ so \: we \: can \: write \\ 4:6 \: is \: in \: proportion \: to \: 6:x \\ or \\ 4:6:: 6: x \\ now \: we \: know \: that \: they \: are \: equal \\ we \: would \: give \: them \: name \\ 4 \: and \: 6are \: called \: extreme \: terms \\ 6 \: and \: 6 \: are \: mid \: terms \\ there \: is \: a \: property \: of \: proportion \\ that \\ extreme \: terms\times mid \: terms \: is \: equal \\ \\ solving \\ \\ 6 \times 6 = 4 \times (according \: to \: the \: property) \\ (solving \: the \: equation) \\ 36 = 4 \times x \\( transposing \: 4) \\ \implies \: x = \dfrac{36}{4} = 9$