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Finding the Fourth Proportional to 13,082, 19,626.78 and 3,848

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Solution

The fourth proportional to 13,082, 19,626.78 and 3,848 is: 5,773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082 : 19,626.78 = 3,848 : x
  2. Step 2: Convert to fraction form
    13,082/19,626.78 = 3,848/x
  3. Step 3: Cross multiply
    13,082x = 19,626.78 × 3,848
  4. Step 4: Simplify right side
    13,082x = 75,523,849.44
  5. Step 5: Solve for x
    x = 75,523,849.44/13,082
  6. Step 6: Final answer
    x = 5,773.11

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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.