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Finding the Fourth Proportional to 16,715, 25,069.46 and 6,183.38

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Solution

The fourth proportional to 16,715, 25,069.46 and 6,183.38 is: 9,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,715 : 25,069.46 = 6,183.38 : x
  2. Step 2: Convert to fraction form
    16,715/25,069.46 = 6,183.38/x
  3. Step 3: Cross multiply
    16,715x = 25,069.46 × 6,183.38
  4. Step 4: Simplify right side
    16,715x = 155,013,997.57
  5. Step 5: Solve for x
    x = 155,013,997.57/16,715
  6. Step 6: Final answer
    x = 9,273.95

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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.