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Finding the Fourth Proportional to 6,540.73, 9,809.16 and 2,842.06

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Solution

The fourth proportional to 6,540.73, 9,809.16 and 2,842.06 is: 4,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.73 : 9,809.16 = 2,842.06 : x
  2. Step 2: Convert to fraction form
    6,540.73/9,809.16 = 2,842.06/x
  3. Step 3: Cross multiply
    6,540.73x = 9,809.16 × 2,842.06
  4. Step 4: Simplify right side
    6,540.73x = 27,878,221.27
  5. Step 5: Solve for x
    x = 27,878,221.27/6,540.73
  6. Step 6: Final answer
    x = 4,262.25

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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.