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Finding the Fourth Proportional to 6,469.56, 9,705.60 and 2,520.80

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Solution

The fourth proportional to 6,469.56, 9,705.60 and 2,520.80 is: 3,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.56 : 9,705.60 = 2,520.80 : x
  2. Step 2: Convert to fraction form
    6,469.56/9,705.60 = 2,520.80/x
  3. Step 3: Cross multiply
    6,469.56x = 9,705.60 × 2,520.80
  4. Step 4: Simplify right side
    6,469.56x = 24,465,876.48
  5. Step 5: Solve for x
    x = 24,465,876.48/6,469.56
  6. Step 6: Final answer
    x = 3,781.69

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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.