Home / 6,982-9,635.54-3,997.14

Finding the Fourth Proportional to 6,982, 9,635.54 and 3,997.14

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Solution

The fourth proportional to 6,982, 9,635.54 and 3,997.14 is: 5,516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982 : 9,635.54 = 3,997.14 : x
  2. Step 2: Convert to fraction form
    6,982/9,635.54 = 3,997.14/x
  3. Step 3: Cross multiply
    6,982x = 9,635.54 × 3,997.14
  4. Step 4: Simplify right side
    6,982x = 38,514,602.36
  5. Step 5: Solve for x
    x = 38,514,602.36/6,982
  6. Step 6: Final answer
    x = 5,516.27

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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.