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Finding the Fourth Proportional to 8,098.56, 12,122.73 and 4,391.60

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Solution

The fourth proportional to 8,098.56, 12,122.73 and 4,391.60 is: 6,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.56 : 12,122.73 = 4,391.60 : x
  2. Step 2: Convert to fraction form
    8,098.56/12,122.73 = 4,391.60/x
  3. Step 3: Cross multiply
    8,098.56x = 12,122.73 × 4,391.60
  4. Step 4: Simplify right side
    8,098.56x = 53,238,120.45
  5. Step 5: Solve for x
    x = 53,238,120.45/8,098.56
  6. Step 6: Final answer
    x = 6,573.78

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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.