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Finding the Fourth Proportional to 8,231.97, 12,335.58 and 4,941.48

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Solution

The fourth proportional to 8,231.97, 12,335.58 and 4,941.48 is: 7,404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.97 : 12,335.58 = 4,941.48 : x
  2. Step 2: Convert to fraction form
    8,231.97/12,335.58 = 4,941.48/x
  3. Step 3: Cross multiply
    8,231.97x = 12,335.58 × 4,941.48
  4. Step 4: Simplify right side
    8,231.97x = 60,956,021.86
  5. Step 5: Solve for x
    x = 60,956,021.86/8,231.97
  6. Step 6: Final answer
    x = 7,404.79

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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.