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Finding the Fourth Proportional to 6,794, 9,391.42 and 5,668.38

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Solution

The fourth proportional to 6,794, 9,391.42 and 5,668.38 is: 7,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794 : 9,391.42 = 5,668.38 : x
  2. Step 2: Convert to fraction form
    6,794/9,391.42 = 5,668.38/x
  3. Step 3: Cross multiply
    6,794x = 9,391.42 × 5,668.38
  4. Step 4: Simplify right side
    6,794x = 53,234,137.30
  5. Step 5: Solve for x
    x = 53,234,137.30/6,794
  6. Step 6: Final answer
    x = 7,835.46

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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.