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Finding the Fourth Proportional to 6,149.92, 9,226.52 and 1,767.64

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Solution

The fourth proportional to 6,149.92, 9,226.52 and 1,767.64 is: 2,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.92 : 9,226.52 = 1,767.64 : x
  2. Step 2: Convert to fraction form
    6,149.92/9,226.52 = 1,767.64/x
  3. Step 3: Cross multiply
    6,149.92x = 9,226.52 × 1,767.64
  4. Step 4: Simplify right side
    6,149.92x = 16,309,165.81
  5. Step 5: Solve for x
    x = 16,309,165.81/6,149.92
  6. Step 6: Final answer
    x = 2,651.93

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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.