Home / 10,538.96-15,785.15-6,829.97

Finding the Fourth Proportional to 10,538.96, 15,785.15 and 6,829.97

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Solution

The fourth proportional to 10,538.96, 15,785.15 and 6,829.97 is: 10,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.96 : 15,785.15 = 6,829.97 : x
  2. Step 2: Convert to fraction form
    10,538.96/15,785.15 = 6,829.97/x
  3. Step 3: Cross multiply
    10,538.96x = 15,785.15 × 6,829.97
  4. Step 4: Simplify right side
    10,538.96x = 107,811,987.87
  5. Step 5: Solve for x
    x = 107,811,987.87/10,538.96
  6. Step 6: Final answer
    x = 10,229.86

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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.