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Finding the Fourth Proportional to 8,270.72, 12,405.84 and 2,427.44

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Solution

The fourth proportional to 8,270.72, 12,405.84 and 2,427.44 is: 3,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.72 : 12,405.84 = 2,427.44 : x
  2. Step 2: Convert to fraction form
    8,270.72/12,405.84 = 2,427.44/x
  3. Step 3: Cross multiply
    8,270.72x = 12,405.84 × 2,427.44
  4. Step 4: Simplify right side
    8,270.72x = 30,114,432.25
  5. Step 5: Solve for x
    x = 30,114,432.25/8,270.72
  6. Step 6: Final answer
    x = 3,641.09

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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.