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Finding the Fourth Proportional to 6,491.06, 9,737.81 and 3,028.31

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Solution

The fourth proportional to 6,491.06, 9,737.81 and 3,028.31 is: 4,543.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.06 : 9,737.81 = 3,028.31 : x
  2. Step 2: Convert to fraction form
    6,491.06/9,737.81 = 3,028.31/x
  3. Step 3: Cross multiply
    6,491.06x = 9,737.81 × 3,028.31
  4. Step 4: Simplify right side
    6,491.06x = 29,489,107.40
  5. Step 5: Solve for x
    x = 29,489,107.40/6,491.06
  6. Step 6: Final answer
    x = 4,543.03

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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.