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Finding the Fourth Proportional to 5,542.44, 7,648.22 and 3,182.92

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Solution

The fourth proportional to 5,542.44, 7,648.22 and 3,182.92 is: 4,392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.44 : 7,648.22 = 3,182.92 : x
  2. Step 2: Convert to fraction form
    5,542.44/7,648.22 = 3,182.92/x
  3. Step 3: Cross multiply
    5,542.44x = 7,648.22 × 3,182.92
  4. Step 4: Simplify right side
    5,542.44x = 24,343,672.40
  5. Step 5: Solve for x
    x = 24,343,672.40/5,542.44
  6. Step 6: Final answer
    x = 4,392.23

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Half scale
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Double scale
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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.