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Finding the Fourth Proportional to 6,344.91, 9,520.10 and 2,647.87

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Solution

The fourth proportional to 6,344.91, 9,520.10 and 2,647.87 is: 3,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.91 : 9,520.10 = 2,647.87 : x
  2. Step 2: Convert to fraction form
    6,344.91/9,520.10 = 2,647.87/x
  3. Step 3: Cross multiply
    6,344.91x = 9,520.10 × 2,647.87
  4. Step 4: Simplify right side
    6,344.91x = 25,207,987.19
  5. Step 5: Solve for x
    x = 25,207,987.19/6,344.91
  6. Step 6: Final answer
    x = 3,972.95

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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.