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Finding the Fourth Proportional to 8,137.75, 12,206.72 and 1,981.75

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Solution

The fourth proportional to 8,137.75, 12,206.72 and 1,981.75 is: 2,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.75 : 12,206.72 = 1,981.75 : x
  2. Step 2: Convert to fraction form
    8,137.75/12,206.72 = 1,981.75/x
  3. Step 3: Cross multiply
    8,137.75x = 12,206.72 × 1,981.75
  4. Step 4: Simplify right side
    8,137.75x = 24,190,667.36
  5. Step 5: Solve for x
    x = 24,190,667.36/8,137.75
  6. Step 6: Final answer
    x = 2,972.65

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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.