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Finding the Fourth Proportional to 16,537, 22,822.52 and 9,086.44

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Solution

The fourth proportional to 16,537, 22,822.52 and 9,086.44 is: 12,540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537 : 22,822.52 = 9,086.44 : x
  2. Step 2: Convert to fraction form
    16,537/22,822.52 = 9,086.44/x
  3. Step 3: Cross multiply
    16,537x = 22,822.52 × 9,086.44
  4. Step 4: Simplify right side
    16,537x = 207,375,458.63
  5. Step 5: Solve for x
    x = 207,375,458.63/16,537
  6. Step 6: Final answer
    x = 12,540.09

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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.