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Finding the Fourth Proportional to 7,234.18, 9,982.69 and 4,046.92

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Solution

The fourth proportional to 7,234.18, 9,982.69 and 4,046.92 is: 5,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.18 : 9,982.69 = 4,046.92 : x
  2. Step 2: Convert to fraction form
    7,234.18/9,982.69 = 4,046.92/x
  3. Step 3: Cross multiply
    7,234.18x = 9,982.69 × 4,046.92
  4. Step 4: Simplify right side
    7,234.18x = 40,399,112.74
  5. Step 5: Solve for x
    x = 40,399,112.74/7,234.18
  6. Step 6: Final answer
    x = 5,584.48

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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.