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Finding the Fourth Proportional to 6,098.93, 9,162.99 and 3,911.93

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Solution

The fourth proportional to 6,098.93, 9,162.99 and 3,911.93 is: 5,877.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.93 : 9,162.99 = 3,911.93 : x
  2. Step 2: Convert to fraction form
    6,098.93/9,162.99 = 3,911.93/x
  3. Step 3: Cross multiply
    6,098.93x = 9,162.99 × 3,911.93
  4. Step 4: Simplify right side
    6,098.93x = 35,844,975.47
  5. Step 5: Solve for x
    x = 35,844,975.47/6,098.93
  6. Step 6: Final answer
    x = 5,877.26

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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.