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Finding the Fourth Proportional to 18,542.44, 27,794.22 and 6,848.20

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Solution

The fourth proportional to 18,542.44, 27,794.22 and 6,848.20 is: 10,265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,542.44 : 27,794.22 = 6,848.20 : x
  2. Step 2: Convert to fraction form
    18,542.44/27,794.22 = 6,848.20/x
  3. Step 3: Cross multiply
    18,542.44x = 27,794.22 × 6,848.20
  4. Step 4: Simplify right side
    18,542.44x = 190,340,377.40
  5. Step 5: Solve for x
    x = 190,340,377.40/18,542.44
  6. Step 6: Final answer
    x = 10,265.12

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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.