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Finding the Fourth Proportional to 9,006.50, 13,511.92 and 2,850.50

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Solution

The fourth proportional to 9,006.50, 13,511.92 and 2,850.50 is: 4,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.50 : 13,511.92 = 2,850.50 : x
  2. Step 2: Convert to fraction form
    9,006.50/13,511.92 = 2,850.50/x
  3. Step 3: Cross multiply
    9,006.50x = 13,511.92 × 2,850.50
  4. Step 4: Simplify right side
    9,006.50x = 38,515,727.96
  5. Step 5: Solve for x
    x = 38,515,727.96/9,006.50
  6. Step 6: Final answer
    x = 4,276.44

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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.