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Finding the Fourth Proportional to 8,103.85, 12,154.70 and 2,259.97

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Solution

The fourth proportional to 8,103.85, 12,154.70 and 2,259.97 is: 3,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.85 : 12,154.70 = 2,259.97 : x
  2. Step 2: Convert to fraction form
    8,103.85/12,154.70 = 2,259.97/x
  3. Step 3: Cross multiply
    8,103.85x = 12,154.70 × 2,259.97
  4. Step 4: Simplify right side
    8,103.85x = 27,469,246.06
  5. Step 5: Solve for x
    x = 27,469,246.06/8,103.85
  6. Step 6: Final answer
    x = 3,389.65

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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.