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Finding the Fourth Proportional to 6,703.67, 9,251.03 and 3,719.96

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Solution

The fourth proportional to 6,703.67, 9,251.03 and 3,719.96 is: 5,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.67 : 9,251.03 = 3,719.96 : x
  2. Step 2: Convert to fraction form
    6,703.67/9,251.03 = 3,719.96/x
  3. Step 3: Cross multiply
    6,703.67x = 9,251.03 × 3,719.96
  4. Step 4: Simplify right side
    6,703.67x = 34,413,396.70
  5. Step 5: Solve for x
    x = 34,413,396.70/6,703.67
  6. Step 6: Final answer
    x = 5,133.52

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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.