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Finding the Fourth Proportional to 10,930, 16,395 and 2,722

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Solution

The fourth proportional to 10,930, 16,395 and 2,722 is: 4,083

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930 : 16,395 = 2,722 : x
  2. Step 2: Convert to fraction form
    10,930/16,395 = 2,722/x
  3. Step 3: Cross multiply
    10,930x = 16,395 × 2,722
  4. Step 4: Simplify right side
    10,930x = 44,627,190
  5. Step 5: Solve for x
    x = 44,627,190/10,930
  6. Step 6: Final answer
    x = 4,083

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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.