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Finding the Fourth Proportional to 8,469.60, 12,693.60 and 6,512.10

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Solution

The fourth proportional to 8,469.60, 12,693.60 and 6,512.10 is: 9,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.60 : 12,693.60 = 6,512.10 : x
  2. Step 2: Convert to fraction form
    8,469.60/12,693.60 = 6,512.10/x
  3. Step 3: Cross multiply
    8,469.60x = 12,693.60 × 6,512.10
  4. Step 4: Simplify right side
    8,469.60x = 82,661,992.56
  5. Step 5: Solve for x
    x = 82,661,992.56/8,469.60
  6. Step 6: Final answer
    x = 9,759.85

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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.