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Finding the Fourth Proportional to 7,551, 11,324.34 and 3,169.44

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Solution

The fourth proportional to 7,551, 11,324.34 and 3,169.44 is: 4,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551 : 11,324.34 = 3,169.44 : x
  2. Step 2: Convert to fraction form
    7,551/11,324.34 = 3,169.44/x
  3. Step 3: Cross multiply
    7,551x = 11,324.34 × 3,169.44
  4. Step 4: Simplify right side
    7,551x = 35,891,816.17
  5. Step 5: Solve for x
    x = 35,891,816.17/7,551
  6. Step 6: Final answer
    x = 4,753.25

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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.