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Finding the Fourth Proportional to 7,238.12, 9,983.12 and 5,255.24

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Solution

The fourth proportional to 7,238.12, 9,983.12 and 5,255.24 is: 7,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.12 : 9,983.12 = 5,255.24 : x
  2. Step 2: Convert to fraction form
    7,238.12/9,983.12 = 5,255.24/x
  3. Step 3: Cross multiply
    7,238.12x = 9,983.12 × 5,255.24
  4. Step 4: Simplify right side
    7,238.12x = 52,463,691.55
  5. Step 5: Solve for x
    x = 52,463,691.55/7,238.12
  6. Step 6: Final answer
    x = 7,248.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.