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Finding the Fourth Proportional to 6,436.35, 9,653.31 and 3,147.39

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Solution

The fourth proportional to 6,436.35, 9,653.31 and 3,147.39 is: 4,720.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.35 : 9,653.31 = 3,147.39 : x
  2. Step 2: Convert to fraction form
    6,436.35/9,653.31 = 3,147.39/x
  3. Step 3: Cross multiply
    6,436.35x = 9,653.31 × 3,147.39
  4. Step 4: Simplify right side
    6,436.35x = 30,382,731.36
  5. Step 5: Solve for x
    x = 30,382,731.36/6,436.35
  6. Step 6: Final answer
    x = 4,720.49

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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.