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Finding the Fourth Proportional to 8,668.23, 11,951.31 and 7,234.64

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Solution

The fourth proportional to 8,668.23, 11,951.31 and 7,234.64 is: 9,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.23 : 11,951.31 = 7,234.64 : x
  2. Step 2: Convert to fraction form
    8,668.23/11,951.31 = 7,234.64/x
  3. Step 3: Cross multiply
    8,668.23x = 11,951.31 × 7,234.64
  4. Step 4: Simplify right side
    8,668.23x = 86,463,425.38
  5. Step 5: Solve for x
    x = 86,463,425.38/8,668.23
  6. Step 6: Final answer
    x = 9,974.75

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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.