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Finding the Fourth Proportional to 8,131.98, 12,197.97 and 1,975.98

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Solution

The fourth proportional to 8,131.98, 12,197.97 and 1,975.98 is: 2,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.98 : 12,197.97 = 1,975.98 : x
  2. Step 2: Convert to fraction form
    8,131.98/12,197.97 = 1,975.98/x
  3. Step 3: Cross multiply
    8,131.98x = 12,197.97 × 1,975.98
  4. Step 4: Simplify right side
    8,131.98x = 24,102,944.76
  5. Step 5: Solve for x
    x = 24,102,944.76/8,131.98
  6. Step 6: Final answer
    x = 2,963.97

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Similar ratio
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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.