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Finding the Fourth Proportional to 11,965, 17,948.22 and 3,757

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Solution

The fourth proportional to 11,965, 17,948.22 and 3,757 is: 5,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965 : 17,948.22 = 3,757 : x
  2. Step 2: Convert to fraction form
    11,965/17,948.22 = 3,757/x
  3. Step 3: Cross multiply
    11,965x = 17,948.22 × 3,757
  4. Step 4: Simplify right side
    11,965x = 67,431,462.54
  5. Step 5: Solve for x
    x = 67,431,462.54/11,965
  6. Step 6: Final answer
    x = 5,635.73

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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.