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Finding the Fourth Proportional to 6,798.10, 10,198.78 and 3,101.44

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Solution

The fourth proportional to 6,798.10, 10,198.78 and 3,101.44 is: 4,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.10 : 10,198.78 = 3,101.44 : x
  2. Step 2: Convert to fraction form
    6,798.10/10,198.78 = 3,101.44/x
  3. Step 3: Cross multiply
    6,798.10x = 10,198.78 × 3,101.44
  4. Step 4: Simplify right side
    6,798.10x = 31,630,904.24
  5. Step 5: Solve for x
    x = 31,630,904.24/6,798.10
  6. Step 6: Final answer
    x = 4,652.90

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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.