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Finding the Fourth Proportional to 6,779.76, 10,161 and 3,271.92

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Solution

The fourth proportional to 6,779.76, 10,161 and 3,271.92 is: 4,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.76 : 10,161 = 3,271.92 : x
  2. Step 2: Convert to fraction form
    6,779.76/10,161 = 3,271.92/x
  3. Step 3: Cross multiply
    6,779.76x = 10,161 × 3,271.92
  4. Step 4: Simplify right side
    6,779.76x = 33,245,979.12
  5. Step 5: Solve for x
    x = 33,245,979.12/6,779.76
  6. Step 6: Final answer
    x = 4,903.71

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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.