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Finding the Fourth Proportional to 6,617.75, 9,926.87 and 2,458.80

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Solution

The fourth proportional to 6,617.75, 9,926.87 and 2,458.80 is: 3,688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.75 : 9,926.87 = 2,458.80 : x
  2. Step 2: Convert to fraction form
    6,617.75/9,926.87 = 2,458.80/x
  3. Step 3: Cross multiply
    6,617.75x = 9,926.87 × 2,458.80
  4. Step 4: Simplify right side
    6,617.75x = 24,408,175.66
  5. Step 5: Solve for x
    x = 24,408,175.66/6,617.75
  6. Step 6: Final answer
    x = 3,688.29

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1.5x scale

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.