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Finding the Fourth Proportional to 6,434.56, 9,653.26 and 3,662.54

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Solution

The fourth proportional to 6,434.56, 9,653.26 and 3,662.54 is: 5,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.56 : 9,653.26 = 3,662.54 : x
  2. Step 2: Convert to fraction form
    6,434.56/9,653.26 = 3,662.54/x
  3. Step 3: Cross multiply
    6,434.56x = 9,653.26 × 3,662.54
  4. Step 4: Simplify right side
    6,434.56x = 35,355,450.88
  5. Step 5: Solve for x
    x = 35,355,450.88/6,434.56
  6. Step 6: Final answer
    x = 5,494.62

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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.