So you are going 6" to 4" and back to 6"? I would get my ducting all the same size, or go from smaller to larger. When a 6" duct hits a restriction like reducing from 6" to 4", 1/2 the cross sectional area (a 6" duct is twice as large as a 4" one), I expect some noise.
You absolutely need a speed controller. I wouldn't order a fan without ordering a speed controller at the same time.