Final answer:
An approximate 6 kV increase from the original setting of 55 kV would be required to double the radiographic density, according to the rule of thumb that a 10-15% increase in kV doubles the radiographic density.
Step-by-step explanation:
To double the radiographic density without changing the mAs value, we need to understand how kV affects the density of an x-ray image. An increase in kilovoltage (kV) results in an increase in the energy of x-ray photons which in turn increases the penetration power and reduces the absorption of x-rays by the subject tissue, therefore increasing the radiographic density of the image.
The rule of thumb for radiographic exposure is that an increase of kV by 10-15% will double the radiographic density. In this case the original technique was 55 kV. If we use the lower end of the rule, an increase of 10% of 55 kV is needed. Therefore, we need an additional 5.5 kV rounding up a 6 kV increase might be required, resulting in a new setting of approximately 61 kV to achieve the desired effect.