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Finding the Fourth Proportional to 6,509.06, 8,979.57 and 4,524.38

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Solution

The fourth proportional to 6,509.06, 8,979.57 and 4,524.38 is: 6,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.06 : 8,979.57 = 4,524.38 : x
  2. Step 2: Convert to fraction form
    6,509.06/8,979.57 = 4,524.38/x
  3. Step 3: Cross multiply
    6,509.06x = 8,979.57 × 4,524.38
  4. Step 4: Simplify right side
    6,509.06x = 40,626,986.92
  5. Step 5: Solve for x
    x = 40,626,986.92/6,509.06
  6. Step 6: Final answer
    x = 6,241.61

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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.