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Finding the Fourth Proportional to 10,330, 15,497.43 and 3,404.50

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Solution

The fourth proportional to 10,330, 15,497.43 and 3,404.50 is: 5,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330 : 15,497.43 = 3,404.50 : x
  2. Step 2: Convert to fraction form
    10,330/15,497.43 = 3,404.50/x
  3. Step 3: Cross multiply
    10,330x = 15,497.43 × 3,404.50
  4. Step 4: Simplify right side
    10,330x = 52,761,000.44
  5. Step 5: Solve for x
    x = 52,761,000.44/10,330
  6. Step 6: Final answer
    x = 5,107.55

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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.