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Finding the Fourth Proportional to 6,794.42, 10,193.07 and 2,180.66

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Solution

The fourth proportional to 6,794.42, 10,193.07 and 2,180.66 is: 3,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.42 : 10,193.07 = 2,180.66 : x
  2. Step 2: Convert to fraction form
    6,794.42/10,193.07 = 2,180.66/x
  3. Step 3: Cross multiply
    6,794.42x = 10,193.07 × 2,180.66
  4. Step 4: Simplify right side
    6,794.42x = 22,227,620.03
  5. Step 5: Solve for x
    x = 22,227,620.03/6,794.42
  6. Step 6: Final answer
    x = 3,271.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.