The next number would be 63
F because I had a question like that
Step-by-step explanation:
Range = Largest number in list - Smallest Number in list

3/2 (4)^x = 6144
3/2 4^x = 6144
(2/3)3/2 4^x = 6144(2/3)
4^x = 4,096
4^6 = 4,096
4,096 = 4,096
x = 6
Part because the whole proportion would be 4/4 and 2/4 is part of it