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Finding the Fourth Proportional to 10,407, 15,610.50 and 4,169.82

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Solution

The fourth proportional to 10,407, 15,610.50 and 4,169.82 is: 6,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407 : 15,610.50 = 4,169.82 : x
  2. Step 2: Convert to fraction form
    10,407/15,610.50 = 4,169.82/x
  3. Step 3: Cross multiply
    10,407x = 15,610.50 × 4,169.82
  4. Step 4: Simplify right side
    10,407x = 65,092,975.11
  5. Step 5: Solve for x
    x = 65,092,975.11/10,407
  6. Step 6: Final answer
    x = 6,254.73

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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.