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Finding the Fourth Proportional to 5,702.60, 8,550.20 and 2,414.80

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Solution

The fourth proportional to 5,702.60, 8,550.20 and 2,414.80 is: 3,620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.60 : 8,550.20 = 2,414.80 : x
  2. Step 2: Convert to fraction form
    5,702.60/8,550.20 = 2,414.80/x
  3. Step 3: Cross multiply
    5,702.60x = 8,550.20 × 2,414.80
  4. Step 4: Simplify right side
    5,702.60x = 20,647,022.96
  5. Step 5: Solve for x
    x = 20,647,022.96/5,702.60
  6. Step 6: Final answer
    x = 3,620.63

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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.