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Finding the Fourth Proportional to 8,738.96, 13,083.32 and 8,123.88

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Solution

The fourth proportional to 8,738.96, 13,083.32 and 8,123.88 is: 12,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.96 : 13,083.32 = 8,123.88 : x
  2. Step 2: Convert to fraction form
    8,738.96/13,083.32 = 8,123.88/x
  3. Step 3: Cross multiply
    8,738.96x = 13,083.32 × 8,123.88
  4. Step 4: Simplify right side
    8,738.96x = 106,287,321.68
  5. Step 5: Solve for x
    x = 106,287,321.68/8,738.96
  6. Step 6: Final answer
    x = 12,162.47

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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.