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Finding the Fourth Proportional to 8,140.92, 12,211.32 and 1,984.92

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Solution

The fourth proportional to 8,140.92, 12,211.32 and 1,984.92 is: 2,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.92 : 12,211.32 = 1,984.92 : x
  2. Step 2: Convert to fraction form
    8,140.92/12,211.32 = 1,984.92/x
  3. Step 3: Cross multiply
    8,140.92x = 12,211.32 × 1,984.92
  4. Step 4: Simplify right side
    8,140.92x = 24,238,493.29
  5. Step 5: Solve for x
    x = 24,238,493.29/8,140.92
  6. Step 6: Final answer
    x = 2,977.37

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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.