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Finding the Fourth Proportional to 6,212.87, 9,317.32 and 2,052.10

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Solution

The fourth proportional to 6,212.87, 9,317.32 and 2,052.10 is: 3,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.87 : 9,317.32 = 2,052.10 : x
  2. Step 2: Convert to fraction form
    6,212.87/9,317.32 = 2,052.10/x
  3. Step 3: Cross multiply
    6,212.87x = 9,317.32 × 2,052.10
  4. Step 4: Simplify right side
    6,212.87x = 19,120,072.37
  5. Step 5: Solve for x
    x = 19,120,072.37/6,212.87
  6. Step 6: Final answer
    x = 3,077.49

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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.