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Finding the Fourth Proportional to 12,452, 17,184.03 and 6,863

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Solution

The fourth proportional to 12,452, 17,184.03 and 6,863 is: 9,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452 : 17,184.03 = 6,863 : x
  2. Step 2: Convert to fraction form
    12,452/17,184.03 = 6,863/x
  3. Step 3: Cross multiply
    12,452x = 17,184.03 × 6,863
  4. Step 4: Simplify right side
    12,452x = 117,933,997.89
  5. Step 5: Solve for x
    x = 117,933,997.89/12,452
  6. Step 6: Final answer
    x = 9,471.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.