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Finding the Fourth Proportional to 6,798.06, 10,198.02 and 2,118.40

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Solution

The fourth proportional to 6,798.06, 10,198.02 and 2,118.40 is: 3,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.06 : 10,198.02 = 2,118.40 : x
  2. Step 2: Convert to fraction form
    6,798.06/10,198.02 = 2,118.40/x
  3. Step 3: Cross multiply
    6,798.06x = 10,198.02 × 2,118.40
  4. Step 4: Simplify right side
    6,798.06x = 21,603,485.57
  5. Step 5: Solve for x
    x = 21,603,485.57/6,798.06
  6. Step 6: Final answer
    x = 3,177.89

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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.