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Finding the Fourth Proportional to 27,650.70, 41,476 and 6,874.20

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Solution

The fourth proportional to 27,650.70, 41,476 and 6,874.20 is: 10,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,650.70 : 41,476 = 6,874.20 : x
  2. Step 2: Convert to fraction form
    27,650.70/41,476 = 6,874.20/x
  3. Step 3: Cross multiply
    27,650.70x = 41,476 × 6,874.20
  4. Step 4: Simplify right side
    27,650.70x = 285,114,319.20
  5. Step 5: Solve for x
    x = 285,114,319.20/27,650.70
  6. Step 6: Final answer
    x = 10,311.29

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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.