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Finding the Fourth Proportional to 6,644.84, 10,016.71 and 5,727.92

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Solution

The fourth proportional to 6,644.84, 10,016.71 and 5,727.92 is: 8,634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.84 : 10,016.71 = 5,727.92 : x
  2. Step 2: Convert to fraction form
    6,644.84/10,016.71 = 5,727.92/x
  3. Step 3: Cross multiply
    6,644.84x = 10,016.71 × 5,727.92
  4. Step 4: Simplify right side
    6,644.84x = 57,374,913.54
  5. Step 5: Solve for x
    x = 57,374,913.54/6,644.84
  6. Step 6: Final answer
    x = 8,634.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.