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Finding the Fourth Proportional to 6,571.53, 9,846.16 and 3,969

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Solution

The fourth proportional to 6,571.53, 9,846.16 and 3,969 is: 5,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.53 : 9,846.16 = 3,969 : x
  2. Step 2: Convert to fraction form
    6,571.53/9,846.16 = 3,969/x
  3. Step 3: Cross multiply
    6,571.53x = 9,846.16 × 3,969
  4. Step 4: Simplify right side
    6,571.53x = 39,079,399.12
  5. Step 5: Solve for x
    x = 39,079,399.12/6,571.53
  6. Step 6: Final answer
    x = 5,946.77

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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.