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Finding the Fourth Proportional to 10,001.72, 14,971.11 and 6,863.38

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Solution

The fourth proportional to 10,001.72, 14,971.11 and 6,863.38 is: 10,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.72 : 14,971.11 = 6,863.38 : x
  2. Step 2: Convert to fraction form
    10,001.72/14,971.11 = 6,863.38/x
  3. Step 3: Cross multiply
    10,001.72x = 14,971.11 × 6,863.38
  4. Step 4: Simplify right side
    10,001.72x = 102,752,416.95
  5. Step 5: Solve for x
    x = 102,752,416.95/10,001.72
  6. Step 6: Final answer
    x = 10,273.47

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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.