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Finding the Fourth Proportional to 6,564.96, 9,059.12 and 3,732.40

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Solution

The fourth proportional to 6,564.96, 9,059.12 and 3,732.40 is: 5,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.96 : 9,059.12 = 3,732.40 : x
  2. Step 2: Convert to fraction form
    6,564.96/9,059.12 = 3,732.40/x
  3. Step 3: Cross multiply
    6,564.96x = 9,059.12 × 3,732.40
  4. Step 4: Simplify right side
    6,564.96x = 33,812,259.49
  5. Step 5: Solve for x
    x = 33,812,259.49/6,564.96
  6. Step 6: Final answer
    x = 5,150.41

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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.