Home / 6,342-9,513.36-1,962.48

Finding the Fourth Proportional to 6,342, 9,513.36 and 1,962.48

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Solution

The fourth proportional to 6,342, 9,513.36 and 1,962.48 is: 2,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342 : 9,513.36 = 1,962.48 : x
  2. Step 2: Convert to fraction form
    6,342/9,513.36 = 1,962.48/x
  3. Step 3: Cross multiply
    6,342x = 9,513.36 × 1,962.48
  4. Step 4: Simplify right side
    6,342x = 18,669,778.73
  5. Step 5: Solve for x
    x = 18,669,778.73/6,342
  6. Step 6: Final answer
    x = 2,943.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.