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Finding the Fourth Proportional to 6,617.88, 9,926.70 and 5,584.52

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Solution

The fourth proportional to 6,617.88, 9,926.70 and 5,584.52 is: 8,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.88 : 9,926.70 = 5,584.52 : x
  2. Step 2: Convert to fraction form
    6,617.88/9,926.70 = 5,584.52/x
  3. Step 3: Cross multiply
    6,617.88x = 9,926.70 × 5,584.52
  4. Step 4: Simplify right side
    6,617.88x = 55,435,854.68
  5. Step 5: Solve for x
    x = 55,435,854.68/6,617.88
  6. Step 6: Final answer
    x = 8,376.68

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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.