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Finding the Fourth Proportional to 6,703.70, 9,251.66 and 3,719.84

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Solution

The fourth proportional to 6,703.70, 9,251.66 and 3,719.84 is: 5,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.70 : 9,251.66 = 3,719.84 : x
  2. Step 2: Convert to fraction form
    6,703.70/9,251.66 = 3,719.84/x
  3. Step 3: Cross multiply
    6,703.70x = 9,251.66 × 3,719.84
  4. Step 4: Simplify right side
    6,703.70x = 34,414,694.93
  5. Step 5: Solve for x
    x = 34,414,694.93/6,703.70
  6. Step 6: Final answer
    x = 5,133.69

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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.