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Finding the Fourth Proportional to 6,509.67, 9,757.50 and 2,813.64

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Solution

The fourth proportional to 6,509.67, 9,757.50 and 2,813.64 is: 4,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.67 : 9,757.50 = 2,813.64 : x
  2. Step 2: Convert to fraction form
    6,509.67/9,757.50 = 2,813.64/x
  3. Step 3: Cross multiply
    6,509.67x = 9,757.50 × 2,813.64
  4. Step 4: Simplify right side
    6,509.67x = 27,454,092.30
  5. Step 5: Solve for x
    x = 27,454,092.30/6,509.67
  6. Step 6: Final answer
    x = 4,217.43

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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.