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Finding the Fourth Proportional to 11,605.68, 17,369.07 and 7,166.15

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Solution

The fourth proportional to 11,605.68, 17,369.07 and 7,166.15 is: 10,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.68 : 17,369.07 = 7,166.15 : x
  2. Step 2: Convert to fraction form
    11,605.68/17,369.07 = 7,166.15/x
  3. Step 3: Cross multiply
    11,605.68x = 17,369.07 × 7,166.15
  4. Step 4: Simplify right side
    11,605.68x = 124,469,274.14
  5. Step 5: Solve for x
    x = 124,469,274.14/11,605.68
  6. Step 6: Final answer
    x = 10,724.86

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1.5x scale

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.