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Finding the Fourth Proportional to 8,238.25, 11,369.07 and 4,512.25

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Solution

The fourth proportional to 8,238.25, 11,369.07 and 4,512.25 is: 6,227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.25 : 11,369.07 = 4,512.25 : x
  2. Step 2: Convert to fraction form
    8,238.25/11,369.07 = 4,512.25/x
  3. Step 3: Cross multiply
    8,238.25x = 11,369.07 × 4,512.25
  4. Step 4: Simplify right side
    8,238.25x = 51,300,086.11
  5. Step 5: Solve for x
    x = 51,300,086.11/8,238.25
  6. Step 6: Final answer
    x = 6,227.06

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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.