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Finding the Fourth Proportional to 20,796.75, 31,195.13 and 6,945.75

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Solution

The fourth proportional to 20,796.75, 31,195.13 and 6,945.75 is: 10,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,796.75 : 31,195.13 = 6,945.75 : x
  2. Step 2: Convert to fraction form
    20,796.75/31,195.13 = 6,945.75/x
  3. Step 3: Cross multiply
    20,796.75x = 31,195.13 × 6,945.75
  4. Step 4: Simplify right side
    20,796.75x = 216,673,539.47
  5. Step 5: Solve for x
    x = 216,673,539.47/20,796.75
  6. Step 6: Final answer
    x = 10,418.63

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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.