Is there any problem with taking Ultram and Vicodin simultaneously?

I do not want to take the narcotic if the Ultram can take care of my pain, but sometimes it does not do the job, and I take a 7.5/500 Hydrocodone/APAP after an hour if the Ultram isn't providing sufficient gesia. I have recently had two wisdom teeth yanked, and the dentist gave me Tramadol, and sometimes it worked and others it didn't so I asked him for something stronger........