Ms. Spilker needs 4 1/2 pounds of flour for her holiday cookies. Each batch of cookies calls for 3/4 pound of flour. How many batches of cookies will she have if she uses all of the flour?

4 1/2 pounds of flour is equivalent to 4 + 1/2 = <<4+1/2=4.5>>4.5 pounds of flour.

Since 1 batch of cookies requires 3/4 pound of flour, then there are 4.5 / 3/4 = 6 batches of cookies. Answer: \boxed{6}.