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Finding the Fourth Proportional to 8,974.76, 13,469 and 4,591.84

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Solution

The fourth proportional to 8,974.76, 13,469 and 4,591.84 is: 6,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.76 : 13,469 = 4,591.84 : x
  2. Step 2: Convert to fraction form
    8,974.76/13,469 = 4,591.84/x
  3. Step 3: Cross multiply
    8,974.76x = 13,469 × 4,591.84
  4. Step 4: Simplify right side
    8,974.76x = 61,847,492.96
  5. Step 5: Solve for x
    x = 61,847,492.96/8,974.76
  6. Step 6: Final answer
    x = 6,891.27

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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.