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Finding the Fourth Proportional to 8,127.96, 12,191.96 and 1,971.96

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Solution

The fourth proportional to 8,127.96, 12,191.96 and 1,971.96 is: 2,957.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.96 : 12,191.96 = 1,971.96 : x
  2. Step 2: Convert to fraction form
    8,127.96/12,191.96 = 1,971.96/x
  3. Step 3: Cross multiply
    8,127.96x = 12,191.96 × 1,971.96
  4. Step 4: Simplify right side
    8,127.96x = 24,042,057.44
  5. Step 5: Solve for x
    x = 24,042,057.44/8,127.96
  6. Step 6: Final answer
    x = 2,957.94

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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.