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Finding the Fourth Proportional to 8,624.85, 11,902.46 and 6,738.63

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Solution

The fourth proportional to 8,624.85, 11,902.46 and 6,738.63 is: 9,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.85 : 11,902.46 = 6,738.63 : x
  2. Step 2: Convert to fraction form
    8,624.85/11,902.46 = 6,738.63/x
  3. Step 3: Cross multiply
    8,624.85x = 11,902.46 × 6,738.63
  4. Step 4: Simplify right side
    8,624.85x = 80,206,233.61
  5. Step 5: Solve for x
    x = 80,206,233.61/8,624.85
  6. Step 6: Final answer
    x = 9,299.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.