Given that

The points are

Let the distance between Q and W is 3x and the distance between Q and R is 4x.
Consider the points

Recall the formula for the distance
![d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/be685jmxw05hm2tq94m5iuge2xjynn1hfn.png)

![4x=\sqrt[]{(11-3_{})^2+(11_{}-3)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/kpjnqq47o0kdbihjgl3h3p92om96645dxa.png)
![4x=\sqrt[]{8^2+8^2}=\sqrt[]{2*8^2}=8\sqrt[]{2}](https://img.qammunity.org/2023/formulas/mathematics/college/ia3rtw3g97phtcb19l4nn3dnam6xho58bv.png)
![x=(8)/(4)\sqrt[]{2}=2\sqrt[]{2}=2.828=3](https://img.qammunity.org/2023/formulas/mathematics/college/3cxjenbdux9ibeczx2sfjjzcm4z9f62jg3.png)
The distance between QR is

The distance between QW is

Again using the distance formula, we get
Let (x,x)=W and Q(3,3) , distance is 9.
![9=\sqrt[]{(x-3)^2+(x-3)^2}](https://img.qammunity.org/2023/formulas/mathematics/college/syhgkl5tyovs43mnm5x3h6wd5ypsj3l1ob.png)


![9=\sqrt[]{2}(x-3)](https://img.qammunity.org/2023/formulas/mathematics/college/31ito1eu4mp1tnclwtr5g5nwpc8k8nmkbu.png)

Hence the required point is (9,9).