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Finding the Fourth Proportional to 6,163.68, 9,243.28 and 1,779.96

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Solution

The fourth proportional to 6,163.68, 9,243.28 and 1,779.96 is: 2,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.68 : 9,243.28 = 1,779.96 : x
  2. Step 2: Convert to fraction form
    6,163.68/9,243.28 = 1,779.96/x
  3. Step 3: Cross multiply
    6,163.68x = 9,243.28 × 1,779.96
  4. Step 4: Simplify right side
    6,163.68x = 16,452,668.67
  5. Step 5: Solve for x
    x = 16,452,668.67/6,163.68
  6. Step 6: Final answer
    x = 2,669.29

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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.