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Finding the Fourth Proportional to 7,234.31, 9,983.96 and 4,580.75

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Solution

The fourth proportional to 7,234.31, 9,983.96 and 4,580.75 is: 6,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.31 : 9,983.96 = 4,580.75 : x
  2. Step 2: Convert to fraction form
    7,234.31/9,983.96 = 4,580.75/x
  3. Step 3: Cross multiply
    7,234.31x = 9,983.96 × 4,580.75
  4. Step 4: Simplify right side
    7,234.31x = 45,734,044.00
  5. Step 5: Solve for x
    x = 45,734,044.00/7,234.31
  6. Step 6: Final answer
    x = 6,321.82

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1.5x scale

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.