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Finding the Fourth Proportional to 6,632.28, 9,142.34 and 4,951.13

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Solution

The fourth proportional to 6,632.28, 9,142.34 and 4,951.13 is: 6,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.28 : 9,142.34 = 4,951.13 : x
  2. Step 2: Convert to fraction form
    6,632.28/9,142.34 = 4,951.13/x
  3. Step 3: Cross multiply
    6,632.28x = 9,142.34 × 4,951.13
  4. Step 4: Simplify right side
    6,632.28x = 45,264,843.38
  5. Step 5: Solve for x
    x = 45,264,843.38/6,632.28
  6. Step 6: Final answer
    x = 6,824.93

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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.