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Finding the Fourth Proportional to 6,092.70, 9,131.70 and 2,968.04

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Solution

The fourth proportional to 6,092.70, 9,131.70 and 2,968.04 is: 4,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.70 : 9,131.70 = 2,968.04 : x
  2. Step 2: Convert to fraction form
    6,092.70/9,131.70 = 2,968.04/x
  3. Step 3: Cross multiply
    6,092.70x = 9,131.70 × 2,968.04
  4. Step 4: Simplify right side
    6,092.70x = 27,103,205.21
  5. Step 5: Solve for x
    x = 27,103,205.21/6,092.70
  6. Step 6: Final answer
    x = 4,448.47

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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.