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Finding the Fourth Proportional to 5,686.74, 7,844.31 and 4,198.50

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Solution

The fourth proportional to 5,686.74, 7,844.31 and 4,198.50 is: 5,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.74 : 7,844.31 = 4,198.50 : x
  2. Step 2: Convert to fraction form
    5,686.74/7,844.31 = 4,198.50/x
  3. Step 3: Cross multiply
    5,686.74x = 7,844.31 × 4,198.50
  4. Step 4: Simplify right side
    5,686.74x = 32,934,335.54
  5. Step 5: Solve for x
    x = 32,934,335.54/5,686.74
  6. Step 6: Final answer
    x = 5,791.43

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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.