Thank you for the opportunity to help you with your question!

It is possible that educational institutions vary in how they would do the conversion. The straight-forward way to do it, mathematically-speaking, is the following:

Since 4.7 on a 6 point scale is the same as x on a 4 point scale, we need to solve the following equation:

4.7 / 6 = x / 4. Now multiply both side by 12: you get 2 * (4.7) = 3 * x, or 9.4 = 3 * x. Now divide both sides by 3 and you get 9.4 / 3 = x or x = 3.13 on a 4 point scale.

I hope this helps.

Please let me know if you need any clarification. I'm always happy to answer your questions.