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Finding the Fourth Proportional to 6,709.87, 10,065.66 and 3,900.01

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Solution

The fourth proportional to 6,709.87, 10,065.66 and 3,900.01 is: 5,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.87 : 10,065.66 = 3,900.01 : x
  2. Step 2: Convert to fraction form
    6,709.87/10,065.66 = 3,900.01/x
  3. Step 3: Cross multiply
    6,709.87x = 10,065.66 × 3,900.01
  4. Step 4: Simplify right side
    6,709.87x = 39,256,174.66
  5. Step 5: Solve for x
    x = 39,256,174.66/6,709.87
  6. Step 6: Final answer
    x = 5,850.51

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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.