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Finding the Fourth Proportional to 16,753.76, 23,121 and 9,301.76

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Solution

The fourth proportional to 16,753.76, 23,121 and 9,301.76 is: 12,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,753.76 : 23,121 = 9,301.76 : x
  2. Step 2: Convert to fraction form
    16,753.76/23,121 = 9,301.76/x
  3. Step 3: Cross multiply
    16,753.76x = 23,121 × 9,301.76
  4. Step 4: Simplify right side
    16,753.76x = 215,065,992.96
  5. Step 5: Solve for x
    x = 215,065,992.96/16,753.76
  6. Step 6: Final answer
    x = 12,836.88

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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.