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Finding the Fourth Proportional to 12,212.29, 16,849.24 and 7,494.85

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Solution

The fourth proportional to 12,212.29, 16,849.24 and 7,494.85 is: 10,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.29 : 16,849.24 = 7,494.85 : x
  2. Step 2: Convert to fraction form
    12,212.29/16,849.24 = 7,494.85/x
  3. Step 3: Cross multiply
    12,212.29x = 16,849.24 × 7,494.85
  4. Step 4: Simplify right side
    12,212.29x = 126,282,526.41
  5. Step 5: Solve for x
    x = 126,282,526.41/12,212.29
  6. Step 6: Final answer
    x = 10,340.61

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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.