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Finding the Fourth Proportional to 10,449.50, 15,675.06 and 3,524

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Solution

The fourth proportional to 10,449.50, 15,675.06 and 3,524 is: 5,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.50 : 15,675.06 = 3,524 : x
  2. Step 2: Convert to fraction form
    10,449.50/15,675.06 = 3,524/x
  3. Step 3: Cross multiply
    10,449.50x = 15,675.06 × 3,524
  4. Step 4: Simplify right side
    10,449.50x = 55,238,911.44
  5. Step 5: Solve for x
    x = 55,238,911.44/10,449.50
  6. Step 6: Final answer
    x = 5,286.27

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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.