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Finding the Fourth Proportional to 6,541.68, 9,027.30 and 3,747

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Solution

The fourth proportional to 6,541.68, 9,027.30 and 3,747 is: 5,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.68 : 9,027.30 = 3,747 : x
  2. Step 2: Convert to fraction form
    6,541.68/9,027.30 = 3,747/x
  3. Step 3: Cross multiply
    6,541.68x = 9,027.30 × 3,747
  4. Step 4: Simplify right side
    6,541.68x = 33,825,293.10
  5. Step 5: Solve for x
    x = 33,825,293.10/6,541.68
  6. Step 6: Final answer
    x = 5,170.73

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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.