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Finding the Fourth Proportional to 10,494.50, 15,744.18 and 3,569

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Solution

The fourth proportional to 10,494.50, 15,744.18 and 3,569 is: 5,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.50 : 15,744.18 = 3,569 : x
  2. Step 2: Convert to fraction form
    10,494.50/15,744.18 = 3,569/x
  3. Step 3: Cross multiply
    10,494.50x = 15,744.18 × 3,569
  4. Step 4: Simplify right side
    10,494.50x = 56,190,978.42
  5. Step 5: Solve for x
    x = 56,190,978.42/10,494.50
  6. Step 6: Final answer
    x = 5,354.33

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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.