p=27 will satisfy this equation.
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When two characters are next to each other (like p6) this means multiplication. Therefore it can be written as p x 6. If you substitute p for 3 you have 3 x 6 which equals 18.
3/4 = 18/24 Therefore, p = 18
S is increased from 4 to 6: a multiple of 6/4 = 1.5 So P, which is directly proportional to S, increases from 18 to 18*1.5 = 27
10p = 180 p = 18