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Finding the Fourth Proportional to 8,262.97, 12,384.73 and 5,297.56

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Solution

The fourth proportional to 8,262.97, 12,384.73 and 5,297.56 is: 7,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.97 : 12,384.73 = 5,297.56 : x
  2. Step 2: Convert to fraction form
    8,262.97/12,384.73 = 5,297.56/x
  3. Step 3: Cross multiply
    8,262.97x = 12,384.73 × 5,297.56
  4. Step 4: Simplify right side
    8,262.97x = 65,608,850.26
  5. Step 5: Solve for x
    x = 65,608,850.26/8,262.97
  6. Step 6: Final answer
    x = 7,940.11

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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.