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Finding the Fourth Proportional to 6,529.50, 9,794.10 and 2,633.82

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Solution

The fourth proportional to 6,529.50, 9,794.10 and 2,633.82 is: 3,950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.50 : 9,794.10 = 2,633.82 : x
  2. Step 2: Convert to fraction form
    6,529.50/9,794.10 = 2,633.82/x
  3. Step 3: Cross multiply
    6,529.50x = 9,794.10 × 2,633.82
  4. Step 4: Simplify right side
    6,529.50x = 25,795,896.46
  5. Step 5: Solve for x
    x = 25,795,896.46/6,529.50
  6. Step 6: Final answer
    x = 3,950.67

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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.