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Finding the Fourth Proportional to 6,340.51, 9,511.98 and 3,179.62

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Solution

The fourth proportional to 6,340.51, 9,511.98 and 3,179.62 is: 4,770.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.51 : 9,511.98 = 3,179.62 : x
  2. Step 2: Convert to fraction form
    6,340.51/9,511.98 = 3,179.62/x
  3. Step 3: Cross multiply
    6,340.51x = 9,511.98 × 3,179.62
  4. Step 4: Simplify right side
    6,340.51x = 30,244,481.85
  5. Step 5: Solve for x
    x = 30,244,481.85/6,340.51
  6. Step 6: Final answer
    x = 4,770.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.