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Finding the Fourth Proportional to 8,231.38, 11,359.10 and 4,694.38

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Solution

The fourth proportional to 8,231.38, 11,359.10 and 4,694.38 is: 6,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.38 : 11,359.10 = 4,694.38 : x
  2. Step 2: Convert to fraction form
    8,231.38/11,359.10 = 4,694.38/x
  3. Step 3: Cross multiply
    8,231.38x = 11,359.10 × 4,694.38
  4. Step 4: Simplify right side
    8,231.38x = 53,323,908.39
  5. Step 5: Solve for x
    x = 53,323,908.39/8,231.38
  6. Step 6: Final answer
    x = 6,478.12

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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.