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Finding the Fourth Proportional to 8,512.70, 12,732.60 and 6,544.40

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Solution

The fourth proportional to 8,512.70, 12,732.60 and 6,544.40 is: 9,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.70 : 12,732.60 = 6,544.40 : x
  2. Step 2: Convert to fraction form
    8,512.70/12,732.60 = 6,544.40/x
  3. Step 3: Cross multiply
    8,512.70x = 12,732.60 × 6,544.40
  4. Step 4: Simplify right side
    8,512.70x = 83,327,227.44
  5. Step 5: Solve for x
    x = 83,327,227.44/8,512.70
  6. Step 6: Final answer
    x = 9,788.58

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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.