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Finding the Fourth Proportional to 27,789.38, 41,684.14 and 7,012.88

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Solution

The fourth proportional to 27,789.38, 41,684.14 and 7,012.88 is: 10,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,789.38 : 41,684.14 = 7,012.88 : x
  2. Step 2: Convert to fraction form
    27,789.38/41,684.14 = 7,012.88/x
  3. Step 3: Cross multiply
    27,789.38x = 41,684.14 × 7,012.88
  4. Step 4: Simplify right side
    27,789.38x = 292,325,871.72
  5. Step 5: Solve for x
    x = 292,325,871.72/27,789.38
  6. Step 6: Final answer
    x = 10,519.34

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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.