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Finding the Fourth Proportional to 6,626.81, 9,935.00 and 2,464.54

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Solution

The fourth proportional to 6,626.81, 9,935.00 and 2,464.54 is: 3,694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.81 : 9,935.00 = 2,464.54 : x
  2. Step 2: Convert to fraction form
    6,626.81/9,935.00 = 2,464.54/x
  3. Step 3: Cross multiply
    6,626.81x = 9,935.00 × 2,464.54
  4. Step 4: Simplify right side
    6,626.81x = 24,485,225.93
  5. Step 5: Solve for x
    x = 24,485,225.93/6,626.81
  6. Step 6: Final answer
    x = 3,694.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.