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Finding the Fourth Proportional to 6,439.66, 9,662.91 and 2,544.10

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Solution

The fourth proportional to 6,439.66, 9,662.91 and 2,544.10 is: 3,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.66 : 9,662.91 = 2,544.10 : x
  2. Step 2: Convert to fraction form
    6,439.66/9,662.91 = 2,544.10/x
  3. Step 3: Cross multiply
    6,439.66x = 9,662.91 × 2,544.10
  4. Step 4: Simplify right side
    6,439.66x = 24,583,409.33
  5. Step 5: Solve for x
    x = 24,583,409.33/6,439.66
  6. Step 6: Final answer
    x = 3,817.50

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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.