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Finding the Fourth Proportional to 8,128.44, 12,191.10 and 3,964.24

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Solution

The fourth proportional to 8,128.44, 12,191.10 and 3,964.24 is: 5,945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.44 : 12,191.10 = 3,964.24 : x
  2. Step 2: Convert to fraction form
    8,128.44/12,191.10 = 3,964.24/x
  3. Step 3: Cross multiply
    8,128.44x = 12,191.10 × 3,964.24
  4. Step 4: Simplify right side
    8,128.44x = 48,328,446.26
  5. Step 5: Solve for x
    x = 48,328,446.26/8,128.44
  6. Step 6: Final answer
    x = 5,945.60

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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.