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Finding the Fourth Proportional to 8,696.25, 11,992.68 and 6,703.65

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Solution

The fourth proportional to 8,696.25, 11,992.68 and 6,703.65 is: 9,244.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.25 : 11,992.68 = 6,703.65 : x
  2. Step 2: Convert to fraction form
    8,696.25/11,992.68 = 6,703.65/x
  3. Step 3: Cross multiply
    8,696.25x = 11,992.68 × 6,703.65
  4. Step 4: Simplify right side
    8,696.25x = 80,394,729.28
  5. Step 5: Solve for x
    x = 80,394,729.28/8,696.25
  6. Step 6: Final answer
    x = 9,244.76

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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.