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Finding the Fourth Proportional to 10,941, 16,414.26 and 3,149.82

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Solution

The fourth proportional to 10,941, 16,414.26 and 3,149.82 is: 4,725.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941 : 16,414.26 = 3,149.82 : x
  2. Step 2: Convert to fraction form
    10,941/16,414.26 = 3,149.82/x
  3. Step 3: Cross multiply
    10,941x = 16,414.26 × 3,149.82
  4. Step 4: Simplify right side
    10,941x = 51,701,964.43
  5. Step 5: Solve for x
    x = 51,701,964.43/10,941
  6. Step 6: Final answer
    x = 4,725.52

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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.