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Finding the Fourth Proportional to 10,121.77, 13,974.94 and 6,545.38

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Solution

The fourth proportional to 10,121.77, 13,974.94 and 6,545.38 is: 9,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.77 : 13,974.94 = 6,545.38 : x
  2. Step 2: Convert to fraction form
    10,121.77/13,974.94 = 6,545.38/x
  3. Step 3: Cross multiply
    10,121.77x = 13,974.94 × 6,545.38
  4. Step 4: Simplify right side
    10,121.77x = 91,471,260.05
  5. Step 5: Solve for x
    x = 91,471,260.05/10,121.77
  6. Step 6: Final answer
    x = 9,037.08

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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.