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Finding the Fourth Proportional to 20,097, 27,737.10 and 11,711.88

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Solution

The fourth proportional to 20,097, 27,737.10 and 11,711.88 is: 16,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097 : 27,737.10 = 11,711.88 : x
  2. Step 2: Convert to fraction form
    20,097/27,737.10 = 11,711.88/x
  3. Step 3: Cross multiply
    20,097x = 27,737.10 × 11,711.88
  4. Step 4: Simplify right side
    20,097x = 324,853,586.75
  5. Step 5: Solve for x
    x = 324,853,586.75/20,097
  6. Step 6: Final answer
    x = 16,164.28

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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.