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Finding the Fourth Proportional to 6,481.89, 9,723.03 and 1,802.25

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Solution

The fourth proportional to 6,481.89, 9,723.03 and 1,802.25 is: 2,703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.89 : 9,723.03 = 1,802.25 : x
  2. Step 2: Convert to fraction form
    6,481.89/9,723.03 = 1,802.25/x
  3. Step 3: Cross multiply
    6,481.89x = 9,723.03 × 1,802.25
  4. Step 4: Simplify right side
    6,481.89x = 17,523,324.06
  5. Step 5: Solve for x
    x = 17,523,324.06/6,481.89
  6. Step 6: Final answer
    x = 2,703.43

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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.