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Finding the Fourth Proportional to 8,043.71, 12,041.62 and 7,198.97

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Solution

The fourth proportional to 8,043.71, 12,041.62 and 7,198.97 is: 10,777.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,043.71 : 12,041.62 = 7,198.97 : x
  2. Step 2: Convert to fraction form
    8,043.71/12,041.62 = 7,198.97/x
  3. Step 3: Cross multiply
    8,043.71x = 12,041.62 × 7,198.97
  4. Step 4: Simplify right side
    8,043.71x = 86,687,182.93
  5. Step 5: Solve for x
    x = 86,687,182.93/8,043.71
  6. Step 6: Final answer
    x = 10,777.02

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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.