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Finding the Fourth Proportional to 8,524.47, 12,769.70 and 6,772.44

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Solution

The fourth proportional to 8,524.47, 12,769.70 and 6,772.44 is: 10,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.47 : 12,769.70 = 6,772.44 : x
  2. Step 2: Convert to fraction form
    8,524.47/12,769.70 = 6,772.44/x
  3. Step 3: Cross multiply
    8,524.47x = 12,769.70 × 6,772.44
  4. Step 4: Simplify right side
    8,524.47x = 86,481,993.21
  5. Step 5: Solve for x
    x = 86,481,993.21/8,524.47
  6. Step 6: Final answer
    x = 10,145.15

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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.