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Finding the Fourth Proportional to 6,553.38, 9,039.66 and 6,115.98

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Solution

The fourth proportional to 6,553.38, 9,039.66 and 6,115.98 is: 8,436.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.38 : 9,039.66 = 6,115.98 : x
  2. Step 2: Convert to fraction form
    6,553.38/9,039.66 = 6,115.98/x
  3. Step 3: Cross multiply
    6,553.38x = 9,039.66 × 6,115.98
  4. Step 4: Simplify right side
    6,553.38x = 55,286,379.77
  5. Step 5: Solve for x
    x = 55,286,379.77/6,553.38
  6. Step 6: Final answer
    x = 8,436.32

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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.