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Finding the Fourth Proportional to 8,197.74, 11,311.74 and 4,660.56

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Solution

The fourth proportional to 8,197.74, 11,311.74 and 4,660.56 is: 6,430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.74 : 11,311.74 = 4,660.56 : x
  2. Step 2: Convert to fraction form
    8,197.74/11,311.74 = 4,660.56/x
  3. Step 3: Cross multiply
    8,197.74x = 11,311.74 × 4,660.56
  4. Step 4: Simplify right side
    8,197.74x = 52,719,042.97
  5. Step 5: Solve for x
    x = 52,719,042.97/8,197.74
  6. Step 6: Final answer
    x = 6,430.92

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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.