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Finding the Fourth Proportional to 8,198.22, 11,310.87 and 4,839.90

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Solution

The fourth proportional to 8,198.22, 11,310.87 and 4,839.90 is: 6,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.22 : 11,310.87 = 4,839.90 : x
  2. Step 2: Convert to fraction form
    8,198.22/11,310.87 = 4,839.90/x
  3. Step 3: Cross multiply
    8,198.22x = 11,310.87 × 4,839.90
  4. Step 4: Simplify right side
    8,198.22x = 54,743,479.71
  5. Step 5: Solve for x
    x = 54,743,479.71/8,198.22
  6. Step 6: Final answer
    x = 6,677.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.