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Finding the Fourth Proportional to 8,834.50, 13,251.75 and 2,678.50

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Solution

The fourth proportional to 8,834.50, 13,251.75 and 2,678.50 is: 4,017.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.50 : 13,251.75 = 2,678.50 : x
  2. Step 2: Convert to fraction form
    8,834.50/13,251.75 = 2,678.50/x
  3. Step 3: Cross multiply
    8,834.50x = 13,251.75 × 2,678.50
  4. Step 4: Simplify right side
    8,834.50x = 35,494,812.38
  5. Step 5: Solve for x
    x = 35,494,812.38/8,834.50
  6. Step 6: Final answer
    x = 4,017.75

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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.