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Finding the Fourth Proportional to 6,524.01, 9,007.47 and 3,872.27

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Solution

The fourth proportional to 6,524.01, 9,007.47 and 3,872.27 is: 5,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.01 : 9,007.47 = 3,872.27 : x
  2. Step 2: Convert to fraction form
    6,524.01/9,007.47 = 3,872.27/x
  3. Step 3: Cross multiply
    6,524.01x = 9,007.47 × 3,872.27
  4. Step 4: Simplify right side
    6,524.01x = 34,879,378.38
  5. Step 5: Solve for x
    x = 34,879,378.38/6,524.01
  6. Step 6: Final answer
    x = 5,346.31

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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.