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Finding the Fourth Proportional to 22,352.60, 33,535.17 and 6,558

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Solution

The fourth proportional to 22,352.60, 33,535.17 and 6,558 is: 9,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,352.60 : 33,535.17 = 6,558 : x
  2. Step 2: Convert to fraction form
    22,352.60/33,535.17 = 6,558/x
  3. Step 3: Cross multiply
    22,352.60x = 33,535.17 × 6,558
  4. Step 4: Simplify right side
    22,352.60x = 219,923,644.86
  5. Step 5: Solve for x
    x = 219,923,644.86/22,352.60
  6. Step 6: Final answer
    x = 9,838.84

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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.