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Finding the Fourth Proportional to 4,006, 6,009 and 1,408.64

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Solution

The fourth proportional to 4,006, 6,009 and 1,408.64 is: 2,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006 : 6,009 = 1,408.64 : x
  2. Step 2: Convert to fraction form
    4,006/6,009 = 1,408.64/x
  3. Step 3: Cross multiply
    4,006x = 6,009 × 1,408.64
  4. Step 4: Simplify right side
    4,006x = 8,464,517.76
  5. Step 5: Solve for x
    x = 8,464,517.76/4,006
  6. Step 6: Final answer
    x = 2,112.96

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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.