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Finding the Fourth Proportional to 6,794.24, 10,192 and 2,114.30

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Solution

The fourth proportional to 6,794.24, 10,192 and 2,114.30 is: 3,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.24 : 10,192 = 2,114.30 : x
  2. Step 2: Convert to fraction form
    6,794.24/10,192 = 2,114.30/x
  3. Step 3: Cross multiply
    6,794.24x = 10,192 × 2,114.30
  4. Step 4: Simplify right side
    6,794.24x = 21,548,945.60
  5. Step 5: Solve for x
    x = 21,548,945.60/6,794.24
  6. Step 6: Final answer
    x = 3,171.65

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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.