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Finding the Fourth Proportional to 6,511.64, 9,770.27 and 2,069.69

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Solution

The fourth proportional to 6,511.64, 9,770.27 and 2,069.69 is: 3,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.64 : 9,770.27 = 2,069.69 : x
  2. Step 2: Convert to fraction form
    6,511.64/9,770.27 = 2,069.69/x
  3. Step 3: Cross multiply
    6,511.64x = 9,770.27 × 2,069.69
  4. Step 4: Simplify right side
    6,511.64x = 20,221,370.92
  5. Step 5: Solve for x
    x = 20,221,370.92/6,511.64
  6. Step 6: Final answer
    x = 3,105.42

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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.