Giải:
Ta có: \(t:x=4:3\Rightarrow\frac{t}{4}=\frac{x}{3}\Rightarrow\frac{t}{16}=\frac{x}{12}\)
\(y:z=3:2\Rightarrow\frac{y}{3}=\frac{z}{2}\)
\(z:x=1:6\Rightarrow\frac{z}{1}=\frac{x}{6}\Rightarrow\frac{z}{2}=\frac{x}{12}\)
\(\Rightarrow\frac{t}{16}=\frac{x}{12}=\frac{y}{3}=\frac{z}{2}\)
\(\Rightarrow\frac{t}{16}=\frac{y}{3}\)
\(\Rightarrow t:y=16:3\)
Vậy \(t:y=16:3\)
Đề bé tý không nhìn dõ
\(\left\{\begin{matrix}\frac{t}{x}=\frac{4}{3}\\\frac{y}{z}=\frac{3}{2}\\\frac{z}{x}=\frac{1}{6}\\\frac{t}{y}=?\end{matrix}\right.\)\(\Rightarrow\frac{t}{x}.\frac{z}{y}.\frac{x}{z}=\frac{4}{3}.\frac{2}{3}.\frac{6}{1}=\frac{4.2.2}{3}=\frac{16}{3}=\frac{t}{y}\)