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Finding the Fourth Proportional to 8,546.98, 12,843.56 and 8,065.84

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Solution

The fourth proportional to 8,546.98, 12,843.56 and 8,065.84 is: 12,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.98 : 12,843.56 = 8,065.84 : x
  2. Step 2: Convert to fraction form
    8,546.98/12,843.56 = 8,065.84/x
  3. Step 3: Cross multiply
    8,546.98x = 12,843.56 × 8,065.84
  4. Step 4: Simplify right side
    8,546.98x = 103,594,099.99
  5. Step 5: Solve for x
    x = 103,594,099.99/8,546.98
  6. Step 6: Final answer
    x = 12,120.55

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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.