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Finding the Fourth Proportional to 8,379.85, 12,569.82 and 2,833.23

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Solution

The fourth proportional to 8,379.85, 12,569.82 and 2,833.23 is: 4,249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.85 : 12,569.82 = 2,833.23 : x
  2. Step 2: Convert to fraction form
    8,379.85/12,569.82 = 2,833.23/x
  3. Step 3: Cross multiply
    8,379.85x = 12,569.82 × 2,833.23
  4. Step 4: Simplify right side
    8,379.85x = 35,613,191.12
  5. Step 5: Solve for x
    x = 35,613,191.12/8,379.85
  6. Step 6: Final answer
    x = 4,249.86

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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.