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Finding the Fourth Proportional to 7,638, 11,406.68 and 6,600.12

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Solution

The fourth proportional to 7,638, 11,406.68 and 6,600.12 is: 9,856.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638 : 11,406.68 = 6,600.12 : x
  2. Step 2: Convert to fraction form
    7,638/11,406.68 = 6,600.12/x
  3. Step 3: Cross multiply
    7,638x = 11,406.68 × 6,600.12
  4. Step 4: Simplify right side
    7,638x = 75,285,423.80
  5. Step 5: Solve for x
    x = 75,285,423.80/7,638
  6. Step 6: Final answer
    x = 9,856.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.