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Finding the Fourth Proportional to 6,280.40, 9,401.40 and 5,589.20

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Solution

The fourth proportional to 6,280.40, 9,401.40 and 5,589.20 is: 8,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.40 : 9,401.40 = 5,589.20 : x
  2. Step 2: Convert to fraction form
    6,280.40/9,401.40 = 5,589.20/x
  3. Step 3: Cross multiply
    6,280.40x = 9,401.40 × 5,589.20
  4. Step 4: Simplify right side
    6,280.40x = 52,546,304.88
  5. Step 5: Solve for x
    x = 52,546,304.88/6,280.40
  6. Step 6: Final answer
    x = 8,366.71

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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.