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Finding the Fourth Proportional to 6,006, 9,009 and 1,902

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Solution

The fourth proportional to 6,006, 9,009 and 1,902 is: 2,853

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006 : 9,009 = 1,902 : x
  2. Step 2: Convert to fraction form
    6,006/9,009 = 1,902/x
  3. Step 3: Cross multiply
    6,006x = 9,009 × 1,902
  4. Step 4: Simplify right side
    6,006x = 17,135,118
  5. Step 5: Solve for x
    x = 17,135,118/6,006
  6. Step 6: Final answer
    x = 2,853

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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.