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Finding the Fourth Proportional to 6,141.27, 8,475.09 and 3,624

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Solution

The fourth proportional to 6,141.27, 8,475.09 and 3,624 is: 5,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.27 : 8,475.09 = 3,624 : x
  2. Step 2: Convert to fraction form
    6,141.27/8,475.09 = 3,624/x
  3. Step 3: Cross multiply
    6,141.27x = 8,475.09 × 3,624
  4. Step 4: Simplify right side
    6,141.27x = 30,713,726.16
  5. Step 5: Solve for x
    x = 30,713,726.16/6,141.27
  6. Step 6: Final answer
    x = 5,001.20

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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.