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Finding the Fourth Proportional to 6,466.24, 9,711.24 and 4,006

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Solution

The fourth proportional to 6,466.24, 9,711.24 and 4,006 is: 6,016.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.24 : 9,711.24 = 4,006 : x
  2. Step 2: Convert to fraction form
    6,466.24/9,711.24 = 4,006/x
  3. Step 3: Cross multiply
    6,466.24x = 9,711.24 × 4,006
  4. Step 4: Simplify right side
    6,466.24x = 38,903,227.44
  5. Step 5: Solve for x
    x = 38,903,227.44/6,466.24
  6. Step 6: Final answer
    x = 6,016.36

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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.