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Finding the Fourth Proportional to 6,806.32, 10,197.96 and 3,298.03

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Solution

The fourth proportional to 6,806.32, 10,197.96 and 3,298.03 is: 4,941.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.32 : 10,197.96 = 3,298.03 : x
  2. Step 2: Convert to fraction form
    6,806.32/10,197.96 = 3,298.03/x
  3. Step 3: Cross multiply
    6,806.32x = 10,197.96 × 3,298.03
  4. Step 4: Simplify right side
    6,806.32x = 33,633,178.02
  5. Step 5: Solve for x
    x = 33,633,178.02/6,806.32
  6. Step 6: Final answer
    x = 4,941.46

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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.