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Finding the Fourth Proportional to 12,716.46, 19,062 and 6,139.04

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Solution

The fourth proportional to 12,716.46, 19,062 and 6,139.04 is: 9,202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.46 : 19,062 = 6,139.04 : x
  2. Step 2: Convert to fraction form
    12,716.46/19,062 = 6,139.04/x
  3. Step 3: Cross multiply
    12,716.46x = 19,062 × 6,139.04
  4. Step 4: Simplify right side
    12,716.46x = 117,022,285.17
  5. Step 5: Solve for x
    x = 117,022,285.17/12,716.46
  6. Step 6: Final answer
    x = 9,202.43

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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.