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Finding the Fourth Proportional to 6,857.40, 10,293.42 and 6,040.92

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Solution

The fourth proportional to 6,857.40, 10,293.42 and 6,040.92 is: 9,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.40 : 10,293.42 = 6,040.92 : x
  2. Step 2: Convert to fraction form
    6,857.40/10,293.42 = 6,040.92/x
  3. Step 3: Cross multiply
    6,857.40x = 10,293.42 × 6,040.92
  4. Step 4: Simplify right side
    6,857.40x = 62,181,726.75
  5. Step 5: Solve for x
    x = 62,181,726.75/6,857.40
  6. Step 6: Final answer
    x = 9,067.83

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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.