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Finding the Fourth Proportional to 6,794.62, 10,193.52 and 2,114.40

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Solution

The fourth proportional to 6,794.62, 10,193.52 and 2,114.40 is: 3,172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.62 : 10,193.52 = 2,114.40 : x
  2. Step 2: Convert to fraction form
    6,794.62/10,193.52 = 2,114.40/x
  3. Step 3: Cross multiply
    6,794.62x = 10,193.52 × 2,114.40
  4. Step 4: Simplify right side
    6,794.62x = 21,553,178.69
  5. Step 5: Solve for x
    x = 21,553,178.69/6,794.62
  6. Step 6: Final answer
    x = 3,172.09

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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.