How to scale HTMLLoader with stage?

I have created a product in AS3 which will be used on multiple different resolutions. For this reason, I have the stage size set to scale so that it can be viewed either windowed or full screen on different machines, it was very important that it was able to do this. As the product was originally made up of vectors and stuff that easily scaled, everything was fine. However, I was asked to make a change that I could only work out how to do by using HTMLLoader on AIR and loading a web page. The issue is that now when the published product is scaled beyond or below its initial stage size, the quality in the HTMLLoader turns horrible and all the text becomes unreadable.

Is there a way I can get the HTMLLoader to scale with the window so that it retains its quality?