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Finding the Fourth Proportional to 6,708.74, 9,257.93 and 3,724.51

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Solution

The fourth proportional to 6,708.74, 9,257.93 and 3,724.51 is: 5,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.74 : 9,257.93 = 3,724.51 : x
  2. Step 2: Convert to fraction form
    6,708.74/9,257.93 = 3,724.51/x
  3. Step 3: Cross multiply
    6,708.74x = 9,257.93 × 3,724.51
  4. Step 4: Simplify right side
    6,708.74x = 34,481,239.03
  5. Step 5: Solve for x
    x = 34,481,239.03/6,708.74
  6. Step 6: Final answer
    x = 5,139.75

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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.