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Finding the Fourth Proportional to 8,232.74, 12,349.74 and 3,552.86

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Solution

The fourth proportional to 8,232.74, 12,349.74 and 3,552.86 is: 5,329.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.74 : 12,349.74 = 3,552.86 : x
  2. Step 2: Convert to fraction form
    8,232.74/12,349.74 = 3,552.86/x
  3. Step 3: Cross multiply
    8,232.74x = 12,349.74 × 3,552.86
  4. Step 4: Simplify right side
    8,232.74x = 43,876,897.26
  5. Step 5: Solve for x
    x = 43,876,897.26/8,232.74
  6. Step 6: Final answer
    x = 5,329.56

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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.