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Finding the Fourth Proportional to 12,367.80, 18,548.10 and 6,823.80

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Solution

The fourth proportional to 12,367.80, 18,548.10 and 6,823.80 is: 10,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.80 : 18,548.10 = 6,823.80 : x
  2. Step 2: Convert to fraction form
    12,367.80/18,548.10 = 6,823.80/x
  3. Step 3: Cross multiply
    12,367.80x = 18,548.10 × 6,823.80
  4. Step 4: Simplify right side
    12,367.80x = 126,568,524.78
  5. Step 5: Solve for x
    x = 126,568,524.78/12,367.80
  6. Step 6: Final answer
    x = 10,233.71

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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.