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Finding the Fourth Proportional to 8,002.64, 12,003.84 and 3,617.04

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Solution

The fourth proportional to 8,002.64, 12,003.84 and 3,617.04 is: 5,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.64 : 12,003.84 = 3,617.04 : x
  2. Step 2: Convert to fraction form
    8,002.64/12,003.84 = 3,617.04/x
  3. Step 3: Cross multiply
    8,002.64x = 12,003.84 × 3,617.04
  4. Step 4: Simplify right side
    8,002.64x = 43,418,369.43
  5. Step 5: Solve for x
    x = 43,418,369.43/8,002.64
  6. Step 6: Final answer
    x = 5,425.51

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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.