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Finding the Fourth Proportional to 6,940.49, 9,575.23 and 4,249.27

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Solution

The fourth proportional to 6,940.49, 9,575.23 and 4,249.27 is: 5,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.49 : 9,575.23 = 4,249.27 : x
  2. Step 2: Convert to fraction form
    6,940.49/9,575.23 = 4,249.27/x
  3. Step 3: Cross multiply
    6,940.49x = 9,575.23 × 4,249.27
  4. Step 4: Simplify right side
    6,940.49x = 40,687,668.46
  5. Step 5: Solve for x
    x = 40,687,668.46/6,940.49
  6. Step 6: Final answer
    x = 5,862.36

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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.