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Finding the Fourth Proportional to 6,794.20, 10,197.30 and 4,017.40

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Solution

The fourth proportional to 6,794.20, 10,197.30 and 4,017.40 is: 6,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.20 : 10,197.30 = 4,017.40 : x
  2. Step 2: Convert to fraction form
    6,794.20/10,197.30 = 4,017.40/x
  3. Step 3: Cross multiply
    6,794.20x = 10,197.30 × 4,017.40
  4. Step 4: Simplify right side
    6,794.20x = 40,966,633.02
  5. Step 5: Solve for x
    x = 40,966,633.02/6,794.20
  6. Step 6: Final answer
    x = 6,029.65

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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.