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Finding the Fourth Proportional to 22,355.60, 33,538.05 and 9,209.30

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Solution

The fourth proportional to 22,355.60, 33,538.05 and 9,209.30 is: 13,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,355.60 : 33,538.05 = 9,209.30 : x
  2. Step 2: Convert to fraction form
    22,355.60/33,538.05 = 9,209.30/x
  3. Step 3: Cross multiply
    22,355.60x = 33,538.05 × 9,209.30
  4. Step 4: Simplify right side
    22,355.60x = 308,861,796.17
  5. Step 5: Solve for x
    x = 308,861,796.17/22,355.60
  6. Step 6: Final answer
    x = 13,815.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.