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Finding the Fourth Proportional to 7,490.73, 11,234.17 and 2,224.50

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Solution

The fourth proportional to 7,490.73, 11,234.17 and 2,224.50 is: 3,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,490.73 : 11,234.17 = 2,224.50 : x
  2. Step 2: Convert to fraction form
    7,490.73/11,234.17 = 2,224.50/x
  3. Step 3: Cross multiply
    7,490.73x = 11,234.17 × 2,224.50
  4. Step 4: Simplify right side
    7,490.73x = 24,990,411.17
  5. Step 5: Solve for x
    x = 24,990,411.17/7,490.73
  6. Step 6: Final answer
    x = 3,336.18

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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.