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Finding the Fourth Proportional to 8,204, 12,306 and 2,732

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Solution

The fourth proportional to 8,204, 12,306 and 2,732 is: 4,098

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204 : 12,306 = 2,732 : x
  2. Step 2: Convert to fraction form
    8,204/12,306 = 2,732/x
  3. Step 3: Cross multiply
    8,204x = 12,306 × 2,732
  4. Step 4: Simplify right side
    8,204x = 33,619,992
  5. Step 5: Solve for x
    x = 33,619,992/8,204
  6. Step 6: Final answer
    x = 4,098

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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.