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Finding the Fourth Proportional to 6,524.12, 9,000.24 and 3,871.51

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Solution

The fourth proportional to 6,524.12, 9,000.24 and 3,871.51 is: 5,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.12 : 9,000.24 = 3,871.51 : x
  2. Step 2: Convert to fraction form
    6,524.12/9,000.24 = 3,871.51/x
  3. Step 3: Cross multiply
    6,524.12x = 9,000.24 × 3,871.51
  4. Step 4: Simplify right side
    6,524.12x = 34,844,519.16
  5. Step 5: Solve for x
    x = 34,844,519.16/6,524.12
  6. Step 6: Final answer
    x = 5,340.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.