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Finding the Fourth Proportional to 6,584.60, 9,879.20 and 4,116.54

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Solution

The fourth proportional to 6,584.60, 9,879.20 and 4,116.54 is: 6,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.60 : 9,879.20 = 4,116.54 : x
  2. Step 2: Convert to fraction form
    6,584.60/9,879.20 = 4,116.54/x
  3. Step 3: Cross multiply
    6,584.60x = 9,879.20 × 4,116.54
  4. Step 4: Simplify right side
    6,584.60x = 40,668,121.97
  5. Step 5: Solve for x
    x = 40,668,121.97/6,584.60
  6. Step 6: Final answer
    x = 6,176.25

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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.