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Finding the Fourth Proportional to 16,002, 24,003 and 5,058

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Solution

The fourth proportional to 16,002, 24,003 and 5,058 is: 7,587

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002 : 24,003 = 5,058 : x
  2. Step 2: Convert to fraction form
    16,002/24,003 = 5,058/x
  3. Step 3: Cross multiply
    16,002x = 24,003 × 5,058
  4. Step 4: Simplify right side
    16,002x = 121,407,174
  5. Step 5: Solve for x
    x = 121,407,174/16,002
  6. Step 6: Final answer
    x = 7,587

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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.