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Finding the Fourth Proportional to 12,408.50, 17,124 and 6,819.50

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Solution

The fourth proportional to 12,408.50, 17,124 and 6,819.50 is: 9,411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.50 : 17,124 = 6,819.50 : x
  2. Step 2: Convert to fraction form
    12,408.50/17,124 = 6,819.50/x
  3. Step 3: Cross multiply
    12,408.50x = 17,124 × 6,819.50
  4. Step 4: Simplify right side
    12,408.50x = 116,777,118
  5. Step 5: Solve for x
    x = 116,777,118/12,408.50
  6. Step 6: Final answer
    x = 9,411.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.