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Finding the Fourth Proportional to 6,831, 10,196.01 and 6,665.22

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Solution

The fourth proportional to 6,831, 10,196.01 and 6,665.22 is: 9,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831 : 10,196.01 = 6,665.22 : x
  2. Step 2: Convert to fraction form
    6,831/10,196.01 = 6,665.22/x
  3. Step 3: Cross multiply
    6,831x = 10,196.01 × 6,665.22
  4. Step 4: Simplify right side
    6,831x = 67,958,649.77
  5. Step 5: Solve for x
    x = 67,958,649.77/6,831
  6. Step 6: Final answer
    x = 9,948.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.