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Finding the Fourth Proportional to 6,244.09, 8,614.34 and 5,562.38

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Solution

The fourth proportional to 6,244.09, 8,614.34 and 5,562.38 is: 7,673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.09 : 8,614.34 = 5,562.38 : x
  2. Step 2: Convert to fraction form
    6,244.09/8,614.34 = 5,562.38/x
  3. Step 3: Cross multiply
    6,244.09x = 8,614.34 × 5,562.38
  4. Step 4: Simplify right side
    6,244.09x = 47,916,232.53
  5. Step 5: Solve for x
    x = 47,916,232.53/6,244.09
  6. Step 6: Final answer
    x = 7,673.85

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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.