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Finding the Fourth Proportional to 10,673, 16,008 and 6,712.18

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Solution

The fourth proportional to 10,673, 16,008 and 6,712.18 is: 10,067.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673 : 16,008 = 6,712.18 : x
  2. Step 2: Convert to fraction form
    10,673/16,008 = 6,712.18/x
  3. Step 3: Cross multiply
    10,673x = 16,008 × 6,712.18
  4. Step 4: Simplify right side
    10,673x = 107,448,577.44
  5. Step 5: Solve for x
    x = 107,448,577.44/10,673
  6. Step 6: Final answer
    x = 10,067.33

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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.