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Finding the Fourth Proportional to 8,233.70, 12,348.05 and 6,917.85

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Solution

The fourth proportional to 8,233.70, 12,348.05 and 6,917.85 is: 10,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.70 : 12,348.05 = 6,917.85 : x
  2. Step 2: Convert to fraction form
    8,233.70/12,348.05 = 6,917.85/x
  3. Step 3: Cross multiply
    8,233.70x = 12,348.05 × 6,917.85
  4. Step 4: Simplify right side
    8,233.70x = 85,421,923.10
  5. Step 5: Solve for x
    x = 85,421,923.10/8,233.70
  6. Step 6: Final answer
    x = 10,374.68

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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.