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Finding the Fourth Proportional to 23,785.62, 35,694.84 and 8,203.26

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Solution

The fourth proportional to 23,785.62, 35,694.84 and 8,203.26 is: 12,310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,785.62 : 35,694.84 = 8,203.26 : x
  2. Step 2: Convert to fraction form
    23,785.62/35,694.84 = 8,203.26/x
  3. Step 3: Cross multiply
    23,785.62x = 35,694.84 × 8,203.26
  4. Step 4: Simplify right side
    23,785.62x = 292,814,053.18
  5. Step 5: Solve for x
    x = 292,814,053.18/23,785.62
  6. Step 6: Final answer
    x = 12,310.55

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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.