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Finding the Fourth Proportional to 12,606.17, 17,396.38 and 6,940.81

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Solution

The fourth proportional to 12,606.17, 17,396.38 and 6,940.81 is: 9,578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.17 : 17,396.38 = 6,940.81 : x
  2. Step 2: Convert to fraction form
    12,606.17/17,396.38 = 6,940.81/x
  3. Step 3: Cross multiply
    12,606.17x = 17,396.38 × 6,940.81
  4. Step 4: Simplify right side
    12,606.17x = 120,744,881.31
  5. Step 5: Solve for x
    x = 120,744,881.31/12,606.17
  6. Step 6: Final answer
    x = 9,578.23

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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.