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Finding the Fourth Proportional to 6,832.96, 10,252.02 and 3,544

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Solution

The fourth proportional to 6,832.96, 10,252.02 and 3,544 is: 5,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.96 : 10,252.02 = 3,544 : x
  2. Step 2: Convert to fraction form
    6,832.96/10,252.02 = 3,544/x
  3. Step 3: Cross multiply
    6,832.96x = 10,252.02 × 3,544
  4. Step 4: Simplify right side
    6,832.96x = 36,333,158.88
  5. Step 5: Solve for x
    x = 36,333,158.88/6,832.96
  6. Step 6: Final answer
    x = 5,317.34

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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.