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Finding the Fourth Proportional to 16,072, 24,108 and 6,344

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Solution

The fourth proportional to 16,072, 24,108 and 6,344 is: 9,516

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,072 : 24,108 = 6,344 : x
  2. Step 2: Convert to fraction form
    16,072/24,108 = 6,344/x
  3. Step 3: Cross multiply
    16,072x = 24,108 × 6,344
  4. Step 4: Simplify right side
    16,072x = 152,941,152
  5. Step 5: Solve for x
    x = 152,941,152/16,072
  6. Step 6: Final answer
    x = 9,516

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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.