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Finding the Fourth Proportional to 12,616, 17,410.62 and 7,027

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Solution

The fourth proportional to 12,616, 17,410.62 and 7,027 is: 9,697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616 : 17,410.62 = 7,027 : x
  2. Step 2: Convert to fraction form
    12,616/17,410.62 = 7,027/x
  3. Step 3: Cross multiply
    12,616x = 17,410.62 × 7,027
  4. Step 4: Simplify right side
    12,616x = 122,344,426.74
  5. Step 5: Solve for x
    x = 122,344,426.74/12,616
  6. Step 6: Final answer
    x = 9,697.56

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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.