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Finding the Fourth Proportional to 6,797.59, 10,196.48 and 4,181.84

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Solution

The fourth proportional to 6,797.59, 10,196.48 and 4,181.84 is: 6,272.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.59 : 10,196.48 = 4,181.84 : x
  2. Step 2: Convert to fraction form
    6,797.59/10,196.48 = 4,181.84/x
  3. Step 3: Cross multiply
    6,797.59x = 10,196.48 × 4,181.84
  4. Step 4: Simplify right side
    6,797.59x = 42,640,102.99
  5. Step 5: Solve for x
    x = 42,640,102.99/6,797.59
  6. Step 6: Final answer
    x = 6,272.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.