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Finding the Fourth Proportional to 6,627.50, 9,145.96 and 3,643.50

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Solution

The fourth proportional to 6,627.50, 9,145.96 and 3,643.50 is: 5,028.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,627.50 : 9,145.96 = 3,643.50 : x
  2. Step 2: Convert to fraction form
    6,627.50/9,145.96 = 3,643.50/x
  3. Step 3: Cross multiply
    6,627.50x = 9,145.96 × 3,643.50
  4. Step 4: Simplify right side
    6,627.50x = 33,323,305.26
  5. Step 5: Solve for x
    x = 33,323,305.26/6,627.50
  6. Step 6: Final answer
    x = 5,028.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.