It is true BertiWooster that CT Scans do use considerably more radiation than a standard x-ray but it into perspective. Radiation exposure in CT scanning varies depending upon the type of CT scan performed. For example, a simple head scan uses considerably less radiation than someone who is undergoing a CT virtual colonoscopy. Furthermore, x-rays themselves do not emit exactly the same dose of radiation from procedure to procedure.
As result of these issues, no one can say precisely that a patient has been irradiated x number of times more following a CT Scan than an x-ray. The range is so wide that radiologists nowadays talk in terms of a CAT Scan radiation exposure being anything from around 100 times the exposure of an x-ray to about 600 times the exposure.
Yes there is a minute risk of cancer following CAT Scans but it would be unfair to discuss it in terms of percentages as academics admit that the current methodologies and statistical methods are far from ideal. Furthermore, there is a dearth of peer-reviewed academic papers on the subject for various reasons.
As I said earlier, radiologists do have protocols to follow before exposing a patient to a CAT Scan and I know that the team who work at my UK teaching hospital will advise the referring consultant to use other imaging techniques or diagnostic procedures if the patient has undergone excessive medical radiation exposure in any given year. The same applies in the USA and if anything, the guidelines are even stricter.