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Finding the Fourth Proportional to 6,513.88, 9,766.18 and 3,049.24

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Solution

The fourth proportional to 6,513.88, 9,766.18 and 3,049.24 is: 4,571.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.88 : 9,766.18 = 3,049.24 : x
  2. Step 2: Convert to fraction form
    6,513.88/9,766.18 = 3,049.24/x
  3. Step 3: Cross multiply
    6,513.88x = 9,766.18 × 3,049.24
  4. Step 4: Simplify right side
    6,513.88x = 29,779,426.70
  5. Step 5: Solve for x
    x = 29,779,426.70/6,513.88
  6. Step 6: Final answer
    x = 4,571.69

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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.