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Finding the Fourth Proportional to 8,229.86, 11,357.49 and 4,503.86

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Solution

The fourth proportional to 8,229.86, 11,357.49 and 4,503.86 is: 6,215.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.86 : 11,357.49 = 4,503.86 : x
  2. Step 2: Convert to fraction form
    8,229.86/11,357.49 = 4,503.86/x
  3. Step 3: Cross multiply
    8,229.86x = 11,357.49 × 4,503.86
  4. Step 4: Simplify right side
    8,229.86x = 51,152,544.91
  5. Step 5: Solve for x
    x = 51,152,544.91/8,229.86
  6. Step 6: Final answer
    x = 6,215.48

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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.