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Finding the Fourth Proportional to 6,798.06, 10,198.01 and 4,685.78

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Solution

The fourth proportional to 6,798.06, 10,198.01 and 4,685.78 is: 7,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.06 : 10,198.01 = 4,685.78 : x
  2. Step 2: Convert to fraction form
    6,798.06/10,198.01 = 4,685.78/x
  3. Step 3: Cross multiply
    6,798.06x = 10,198.01 × 4,685.78
  4. Step 4: Simplify right side
    6,798.06x = 47,785,556.88
  5. Step 5: Solve for x
    x = 47,785,556.88/6,798.06
  6. Step 6: Final answer
    x = 7,029.29

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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.