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Finding the Fourth Proportional to 11,306, 16,959.48 and 3,098

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Solution

The fourth proportional to 11,306, 16,959.48 and 3,098 is: 4,647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306 : 16,959.48 = 3,098 : x
  2. Step 2: Convert to fraction form
    11,306/16,959.48 = 3,098/x
  3. Step 3: Cross multiply
    11,306x = 16,959.48 × 3,098
  4. Step 4: Simplify right side
    11,306x = 52,540,469.04
  5. Step 5: Solve for x
    x = 52,540,469.04/11,306
  6. Step 6: Final answer
    x = 4,647.13

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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.