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Finding the Fourth Proportional to 6,688.73, 9,230.72 and 3,704.52

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Solution

The fourth proportional to 6,688.73, 9,230.72 and 3,704.52 is: 5,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.73 : 9,230.72 = 3,704.52 : x
  2. Step 2: Convert to fraction form
    6,688.73/9,230.72 = 3,704.52/x
  3. Step 3: Cross multiply
    6,688.73x = 9,230.72 × 3,704.52
  4. Step 4: Simplify right side
    6,688.73x = 34,195,386.85
  5. Step 5: Solve for x
    x = 34,195,386.85/6,688.73
  6. Step 6: Final answer
    x = 5,112.39

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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.