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Finding the Fourth Proportional to 8,002.75, 12,004.13 and 2,530.75

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Solution

The fourth proportional to 8,002.75, 12,004.13 and 2,530.75 is: 3,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.75 : 12,004.13 = 2,530.75 : x
  2. Step 2: Convert to fraction form
    8,002.75/12,004.13 = 2,530.75/x
  3. Step 3: Cross multiply
    8,002.75x = 12,004.13 × 2,530.75
  4. Step 4: Simplify right side
    8,002.75x = 30,379,452.00
  5. Step 5: Solve for x
    x = 30,379,452.00/8,002.75
  6. Step 6: Final answer
    x = 3,796.13

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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.