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Finding the Fourth Proportional to 11,676, 17,514 and 3,468

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Solution

The fourth proportional to 11,676, 17,514 and 3,468 is: 5,202

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676 : 17,514 = 3,468 : x
  2. Step 2: Convert to fraction form
    11,676/17,514 = 3,468/x
  3. Step 3: Cross multiply
    11,676x = 17,514 × 3,468
  4. Step 4: Simplify right side
    11,676x = 60,738,552
  5. Step 5: Solve for x
    x = 60,738,552/11,676
  6. Step 6: Final answer
    x = 5,202

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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.