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Finding the Fourth Proportional to 8,342.25, 11,512.31 and 4,616.25

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Solution

The fourth proportional to 8,342.25, 11,512.31 and 4,616.25 is: 6,370.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.25 : 11,512.31 = 4,616.25 : x
  2. Step 2: Convert to fraction form
    8,342.25/11,512.31 = 4,616.25/x
  3. Step 3: Cross multiply
    8,342.25x = 11,512.31 × 4,616.25
  4. Step 4: Simplify right side
    8,342.25x = 53,143,677.96
  5. Step 5: Solve for x
    x = 53,143,677.96/8,342.25
  6. Step 6: Final answer
    x = 6,370.43

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Half scale
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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.