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Finding the Fourth Proportional to 8,139.42, 12,209.04 and 1,983.42

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Solution

The fourth proportional to 8,139.42, 12,209.04 and 1,983.42 is: 2,975.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.42 : 12,209.04 = 1,983.42 : x
  2. Step 2: Convert to fraction form
    8,139.42/12,209.04 = 1,983.42/x
  3. Step 3: Cross multiply
    8,139.42x = 12,209.04 × 1,983.42
  4. Step 4: Simplify right side
    8,139.42x = 24,215,654.12
  5. Step 5: Solve for x
    x = 24,215,654.12/8,139.42
  6. Step 6: Final answer
    x = 2,975.11

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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.