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Finding the Fourth Proportional to 6,559.89, 9,839.97 and 2,661.63

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Solution

The fourth proportional to 6,559.89, 9,839.97 and 2,661.63 is: 3,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.89 : 9,839.97 = 2,661.63 : x
  2. Step 2: Convert to fraction form
    6,559.89/9,839.97 = 2,661.63/x
  3. Step 3: Cross multiply
    6,559.89x = 9,839.97 × 2,661.63
  4. Step 4: Simplify right side
    6,559.89x = 26,190,359.35
  5. Step 5: Solve for x
    x = 26,190,359.35/6,559.89
  6. Step 6: Final answer
    x = 3,992.50

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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.