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Finding the Fourth Proportional to 6,133, 9,200.38 and 2,435.62

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Solution

The fourth proportional to 6,133, 9,200.38 and 2,435.62 is: 3,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133 : 9,200.38 = 2,435.62 : x
  2. Step 2: Convert to fraction form
    6,133/9,200.38 = 2,435.62/x
  3. Step 3: Cross multiply
    6,133x = 9,200.38 × 2,435.62
  4. Step 4: Simplify right side
    6,133x = 22,408,629.54
  5. Step 5: Solve for x
    x = 22,408,629.54/6,133
  6. Step 6: Final answer
    x = 3,653.78

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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.