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Finding the Fourth Proportional to 6,359.68, 9,541.68 and 3,073.24

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Solution

The fourth proportional to 6,359.68, 9,541.68 and 3,073.24 is: 4,610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.68 : 9,541.68 = 3,073.24 : x
  2. Step 2: Convert to fraction form
    6,359.68/9,541.68 = 3,073.24/x
  3. Step 3: Cross multiply
    6,359.68x = 9,541.68 × 3,073.24
  4. Step 4: Simplify right side
    6,359.68x = 29,323,872.64
  5. Step 5: Solve for x
    x = 29,323,872.64/6,359.68
  6. Step 6: Final answer
    x = 4,610.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.