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Finding the Fourth Proportional to 6,696.92, 10,032.42 and 3,236.60

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Solution

The fourth proportional to 6,696.92, 10,032.42 and 3,236.60 is: 4,848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.92 : 10,032.42 = 3,236.60 : x
  2. Step 2: Convert to fraction form
    6,696.92/10,032.42 = 3,236.60/x
  3. Step 3: Cross multiply
    6,696.92x = 10,032.42 × 3,236.60
  4. Step 4: Simplify right side
    6,696.92x = 32,470,930.57
  5. Step 5: Solve for x
    x = 32,470,930.57/6,696.92
  6. Step 6: Final answer
    x = 4,848.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.