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Finding the Fourth Proportional to 12,592.69, 17,375.99 and 7,286.48

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Solution

The fourth proportional to 12,592.69, 17,375.99 and 7,286.48 is: 10,054.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.69 : 17,375.99 = 7,286.48 : x
  2. Step 2: Convert to fraction form
    12,592.69/17,375.99 = 7,286.48/x
  3. Step 3: Cross multiply
    12,592.69x = 17,375.99 × 7,286.48
  4. Step 4: Simplify right side
    12,592.69x = 126,609,863.70
  5. Step 5: Solve for x
    x = 126,609,863.70/12,592.69
  6. Step 6: Final answer
    x = 10,054.23

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1.5x scale

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.