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Finding the Fourth Proportional to 6,529.71, 9,786.03 and 3,019.24

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Solution

The fourth proportional to 6,529.71, 9,786.03 and 3,019.24 is: 4,524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.71 : 9,786.03 = 3,019.24 : x
  2. Step 2: Convert to fraction form
    6,529.71/9,786.03 = 3,019.24/x
  3. Step 3: Cross multiply
    6,529.71x = 9,786.03 × 3,019.24
  4. Step 4: Simplify right side
    6,529.71x = 29,546,337.09
  5. Step 5: Solve for x
    x = 29,546,337.09/6,529.71
  6. Step 6: Final answer
    x = 4,524.91

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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.