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Finding the Fourth Proportional to 10,469.43, 15,706.46 and 3,449.16

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Solution

The fourth proportional to 10,469.43, 15,706.46 and 3,449.16 is: 5,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.43 : 15,706.46 = 3,449.16 : x
  2. Step 2: Convert to fraction form
    10,469.43/15,706.46 = 3,449.16/x
  3. Step 3: Cross multiply
    10,469.43x = 15,706.46 × 3,449.16
  4. Step 4: Simplify right side
    10,469.43x = 54,174,038.62
  5. Step 5: Solve for x
    x = 54,174,038.62/10,469.43
  6. Step 6: Final answer
    x = 5,174.50

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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.