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Finding the Fourth Proportional to 6,836.22, 10,265.85 and 6,485.49

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Solution

The fourth proportional to 6,836.22, 10,265.85 and 6,485.49 is: 9,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.22 : 10,265.85 = 6,485.49 : x
  2. Step 2: Convert to fraction form
    6,836.22/10,265.85 = 6,485.49/x
  3. Step 3: Cross multiply
    6,836.22x = 10,265.85 × 6,485.49
  4. Step 4: Simplify right side
    6,836.22x = 66,579,067.52
  5. Step 5: Solve for x
    x = 66,579,067.52/6,836.22
  6. Step 6: Final answer
    x = 9,739.16

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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.