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Finding the Fourth Proportional to 6,463.71, 9,671.13 and 3,832.65

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Solution

The fourth proportional to 6,463.71, 9,671.13 and 3,832.65 is: 5,734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.71 : 9,671.13 = 3,832.65 : x
  2. Step 2: Convert to fraction form
    6,463.71/9,671.13 = 3,832.65/x
  3. Step 3: Cross multiply
    6,463.71x = 9,671.13 × 3,832.65
  4. Step 4: Simplify right side
    6,463.71x = 37,066,056.39
  5. Step 5: Solve for x
    x = 37,066,056.39/6,463.71
  6. Step 6: Final answer
    x = 5,734.49

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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.