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Finding the Fourth Proportional to 5,911.98, 8,843.31 and 4,156.86

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Solution

The fourth proportional to 5,911.98, 8,843.31 and 4,156.86 is: 6,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.98 : 8,843.31 = 4,156.86 : x
  2. Step 2: Convert to fraction form
    5,911.98/8,843.31 = 4,156.86/x
  3. Step 3: Cross multiply
    5,911.98x = 8,843.31 × 4,156.86
  4. Step 4: Simplify right side
    5,911.98x = 36,760,401.61
  5. Step 5: Solve for x
    x = 36,760,401.61/5,911.98
  6. Step 6: Final answer
    x = 6,217.95

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1.5x scale

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.