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Finding the Fourth Proportional to 7,198.58, 10,779.41 and 6,091.41

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Solution

The fourth proportional to 7,198.58, 10,779.41 and 6,091.41 is: 9,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.58 : 10,779.41 = 6,091.41 : x
  2. Step 2: Convert to fraction form
    7,198.58/10,779.41 = 6,091.41/x
  3. Step 3: Cross multiply
    7,198.58x = 10,779.41 × 6,091.41
  4. Step 4: Simplify right side
    7,198.58x = 65,661,775.41
  5. Step 5: Solve for x
    x = 65,661,775.41/7,198.58
  6. Step 6: Final answer
    x = 9,121.50

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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.