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Finding the Fourth Proportional to 6,469.50, 9,706.68 and 3,006.75

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Solution

The fourth proportional to 6,469.50, 9,706.68 and 3,006.75 is: 4,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.50 : 9,706.68 = 3,006.75 : x
  2. Step 2: Convert to fraction form
    6,469.50/9,706.68 = 3,006.75/x
  3. Step 3: Cross multiply
    6,469.50x = 9,706.68 × 3,006.75
  4. Step 4: Simplify right side
    6,469.50x = 29,185,560.09
  5. Step 5: Solve for x
    x = 29,185,560.09/6,469.50
  6. Step 6: Final answer
    x = 4,511.25

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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.