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Finding the Fourth Proportional to 6,232.65, 9,350.49 and 2,072.64

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Solution

The fourth proportional to 6,232.65, 9,350.49 and 2,072.64 is: 3,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.65 : 9,350.49 = 2,072.64 : x
  2. Step 2: Convert to fraction form
    6,232.65/9,350.49 = 2,072.64/x
  3. Step 3: Cross multiply
    6,232.65x = 9,350.49 × 2,072.64
  4. Step 4: Simplify right side
    6,232.65x = 19,380,178.18
  5. Step 5: Solve for x
    x = 19,380,178.18/6,232.65
  6. Step 6: Final answer
    x = 3,109.46

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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.