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Finding the Fourth Proportional to 6,975.50, 10,467.90 and 2,593.40

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Solution

The fourth proportional to 6,975.50, 10,467.90 and 2,593.40 is: 3,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.50 : 10,467.90 = 2,593.40 : x
  2. Step 2: Convert to fraction form
    6,975.50/10,467.90 = 2,593.40/x
  3. Step 3: Cross multiply
    6,975.50x = 10,467.90 × 2,593.40
  4. Step 4: Simplify right side
    6,975.50x = 27,147,399.52
  5. Step 5: Solve for x
    x = 27,147,399.52/6,975.50
  6. Step 6: Final answer
    x = 3,891.82

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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.