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Finding the Fourth Proportional to 16,006, 24,009 and 5,062

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Solution

The fourth proportional to 16,006, 24,009 and 5,062 is: 7,593

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006 : 24,009 = 5,062 : x
  2. Step 2: Convert to fraction form
    16,006/24,009 = 5,062/x
  3. Step 3: Cross multiply
    16,006x = 24,009 × 5,062
  4. Step 4: Simplify right side
    16,006x = 121,533,558
  5. Step 5: Solve for x
    x = 121,533,558/16,006
  6. Step 6: Final answer
    x = 7,593

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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.