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Finding the Fourth Proportional to 6,542.59, 9,813.90 and 2,649.73

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Solution

The fourth proportional to 6,542.59, 9,813.90 and 2,649.73 is: 3,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.59 : 9,813.90 = 2,649.73 : x
  2. Step 2: Convert to fraction form
    6,542.59/9,813.90 = 2,649.73/x
  3. Step 3: Cross multiply
    6,542.59x = 9,813.90 × 2,649.73
  4. Step 4: Simplify right side
    6,542.59x = 26,004,185.25
  5. Step 5: Solve for x
    x = 26,004,185.25/6,542.59
  6. Step 6: Final answer
    x = 3,974.60

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Double scale
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Similar ratio
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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.