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Finding the Fourth Proportional to 16,584.90, 22,887.17 and 9,132.90

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Solution

The fourth proportional to 16,584.90, 22,887.17 and 9,132.90 is: 12,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.90 : 22,887.17 = 9,132.90 : x
  2. Step 2: Convert to fraction form
    16,584.90/22,887.17 = 9,132.90/x
  3. Step 3: Cross multiply
    16,584.90x = 22,887.17 × 9,132.90
  4. Step 4: Simplify right side
    16,584.90x = 209,026,234.89
  5. Step 5: Solve for x
    x = 209,026,234.89/16,584.90
  6. Step 6: Final answer
    x = 12,603.41

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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.