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Finding the Fourth Proportional to 6,543.50, 9,802.14 and 3,028.73

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Solution

The fourth proportional to 6,543.50, 9,802.14 and 3,028.73 is: 4,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.50 : 9,802.14 = 3,028.73 : x
  2. Step 2: Convert to fraction form
    6,543.50/9,802.14 = 3,028.73/x
  3. Step 3: Cross multiply
    6,543.50x = 9,802.14 × 3,028.73
  4. Step 4: Simplify right side
    6,543.50x = 29,687,986.47
  5. Step 5: Solve for x
    x = 29,687,986.47/6,543.50
  6. Step 6: Final answer
    x = 4,537.02

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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.