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Finding the Fourth Proportional to 16,582, 24,873 and 5,638

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Solution

The fourth proportional to 16,582, 24,873 and 5,638 is: 8,457

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582 : 24,873 = 5,638 : x
  2. Step 2: Convert to fraction form
    16,582/24,873 = 5,638/x
  3. Step 3: Cross multiply
    16,582x = 24,873 × 5,638
  4. Step 4: Simplify right side
    16,582x = 140,233,974
  5. Step 5: Solve for x
    x = 140,233,974/16,582
  6. Step 6: Final answer
    x = 8,457

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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.