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Finding the Fourth Proportional to 6,436.64, 9,643.96 and 3,517

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Solution

The fourth proportional to 6,436.64, 9,643.96 and 3,517 is: 5,269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.64 : 9,643.96 = 3,517 : x
  2. Step 2: Convert to fraction form
    6,436.64/9,643.96 = 3,517/x
  3. Step 3: Cross multiply
    6,436.64x = 9,643.96 × 3,517
  4. Step 4: Simplify right side
    6,436.64x = 33,917,807.32
  5. Step 5: Solve for x
    x = 33,917,807.32/6,436.64
  6. Step 6: Final answer
    x = 5,269.49

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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.