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Finding the Fourth Proportional to 14,638, 21,957 and 4,249.84

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Solution

The fourth proportional to 14,638, 21,957 and 4,249.84 is: 6,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638 : 21,957 = 4,249.84 : x
  2. Step 2: Convert to fraction form
    14,638/21,957 = 4,249.84/x
  3. Step 3: Cross multiply
    14,638x = 21,957 × 4,249.84
  4. Step 4: Simplify right side
    14,638x = 93,313,736.88
  5. Step 5: Solve for x
    x = 93,313,736.88/14,638
  6. Step 6: Final answer
    x = 6,374.76

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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.