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Finding the Fourth Proportional to 6,236, 9,355.44 and 2,132

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Solution

The fourth proportional to 6,236, 9,355.44 and 2,132 is: 3,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236 : 9,355.44 = 2,132 : x
  2. Step 2: Convert to fraction form
    6,236/9,355.44 = 2,132/x
  3. Step 3: Cross multiply
    6,236x = 9,355.44 × 2,132
  4. Step 4: Simplify right side
    6,236x = 19,945,798.08
  5. Step 5: Solve for x
    x = 19,945,798.08/6,236
  6. Step 6: Final answer
    x = 3,198.49

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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.