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Finding the Fourth Proportional to 6,517.12, 9,778.78 and 4,518.90

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Solution

The fourth proportional to 6,517.12, 9,778.78 and 4,518.90 is: 6,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.12 : 9,778.78 = 4,518.90 : x
  2. Step 2: Convert to fraction form
    6,517.12/9,778.78 = 4,518.90/x
  3. Step 3: Cross multiply
    6,517.12x = 9,778.78 × 4,518.90
  4. Step 4: Simplify right side
    6,517.12x = 44,189,328.94
  5. Step 5: Solve for x
    x = 44,189,328.94/6,517.12
  6. Step 6: Final answer
    x = 6,780.50

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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.