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Finding the Fourth Proportional to 7,439.14, 10,264.98 and 4,454.38

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Solution

The fourth proportional to 7,439.14, 10,264.98 and 4,454.38 is: 6,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439.14 : 10,264.98 = 4,454.38 : x
  2. Step 2: Convert to fraction form
    7,439.14/10,264.98 = 4,454.38/x
  3. Step 3: Cross multiply
    7,439.14x = 10,264.98 × 4,454.38
  4. Step 4: Simplify right side
    7,439.14x = 45,724,121.61
  5. Step 5: Solve for x
    x = 45,724,121.61/7,439.14
  6. Step 6: Final answer
    x = 6,146.43

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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.