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Finding the Fourth Proportional to 7,696.92, 11,480.55 and 6,449.88

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Solution

The fourth proportional to 7,696.92, 11,480.55 and 6,449.88 is: 9,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.92 : 11,480.55 = 6,449.88 : x
  2. Step 2: Convert to fraction form
    7,696.92/11,480.55 = 6,449.88/x
  3. Step 3: Cross multiply
    7,696.92x = 11,480.55 × 6,449.88
  4. Step 4: Simplify right side
    7,696.92x = 74,048,169.83
  5. Step 5: Solve for x
    x = 74,048,169.83/7,696.92
  6. Step 6: Final answer
    x = 9,620.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.