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Finding the Fourth Proportional to 6,418.80, 9,619.20 and 5,104.80

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Solution

The fourth proportional to 6,418.80, 9,619.20 and 5,104.80 is: 7,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.80 : 9,619.20 = 5,104.80 : x
  2. Step 2: Convert to fraction form
    6,418.80/9,619.20 = 5,104.80/x
  3. Step 3: Cross multiply
    6,418.80x = 9,619.20 × 5,104.80
  4. Step 4: Simplify right side
    6,418.80x = 49,104,092.16
  5. Step 5: Solve for x
    x = 49,104,092.16/6,418.80
  6. Step 6: Final answer
    x = 7,650.04

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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.