$$6 \frac { 1 } { 2 } : x = 6 \frac { 5 } { 6 } : 4 , 1$$
$y=1$
$$4\times \frac{6\times 2+1}{2}=x\times \frac{6\times 6+5}{6}$$
$$4\times \frac{12+1}{2}=x\times \frac{6\times 6+5}{6}$$
$$4\times \frac{13}{2}=x\times \frac{6\times 6+5}{6}$$
$$26=x\times \frac{6\times 6+5}{6}$$
$$26=x\times \frac{36+5}{6}$$
$$26=x\times \frac{41}{6}$$
$$x\times \frac{41}{6}=26$$
$$x=26\times \frac{6}{41}$$
$$x=\frac{156}{41}$$
$$x=\frac{156}{41}$$ $$y=1$$
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