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Finding the Fourth Proportional to 8,381.44, 12,567.32 and 3,454.48

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Solution

The fourth proportional to 8,381.44, 12,567.32 and 3,454.48 is: 5,179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.44 : 12,567.32 = 3,454.48 : x
  2. Step 2: Convert to fraction form
    8,381.44/12,567.32 = 3,454.48/x
  3. Step 3: Cross multiply
    8,381.44x = 12,567.32 × 3,454.48
  4. Step 4: Simplify right side
    8,381.44x = 43,413,555.59
  5. Step 5: Solve for x
    x = 43,413,555.59/8,381.44
  6. Step 6: Final answer
    x = 5,179.73

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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.