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Finding the Fourth Proportional to 6,593.91, 9,098.67 and 3,940.75

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Solution

The fourth proportional to 6,593.91, 9,098.67 and 3,940.75 is: 5,437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.91 : 9,098.67 = 3,940.75 : x
  2. Step 2: Convert to fraction form
    6,593.91/9,098.67 = 3,940.75/x
  3. Step 3: Cross multiply
    6,593.91x = 9,098.67 × 3,940.75
  4. Step 4: Simplify right side
    6,593.91x = 35,855,583.80
  5. Step 5: Solve for x
    x = 35,855,583.80/6,593.91
  6. Step 6: Final answer
    x = 5,437.68

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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.