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Finding the Fourth Proportional to 6,509.13, 8,982.60 and 3,524.97

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Solution

The fourth proportional to 6,509.13, 8,982.60 and 3,524.97 is: 4,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.13 : 8,982.60 = 3,524.97 : x
  2. Step 2: Convert to fraction form
    6,509.13/8,982.60 = 3,524.97/x
  3. Step 3: Cross multiply
    6,509.13x = 8,982.60 × 3,524.97
  4. Step 4: Simplify right side
    6,509.13x = 31,663,375.06
  5. Step 5: Solve for x
    x = 31,663,375.06/6,509.13
  6. Step 6: Final answer
    x = 4,864.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.