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Finding the Fourth Proportional to 6,496.15, 9,745.24 and 2,112.58

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Solution

The fourth proportional to 6,496.15, 9,745.24 and 2,112.58 is: 3,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.15 : 9,745.24 = 2,112.58 : x
  2. Step 2: Convert to fraction form
    6,496.15/9,745.24 = 2,112.58/x
  3. Step 3: Cross multiply
    6,496.15x = 9,745.24 × 2,112.58
  4. Step 4: Simplify right side
    6,496.15x = 20,587,599.12
  5. Step 5: Solve for x
    x = 20,587,599.12/6,496.15
  6. Step 6: Final answer
    x = 3,169.20

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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.