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Finding the Fourth Proportional to 11,652, 17,473.74 and 4,254.27

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Solution

The fourth proportional to 11,652, 17,473.74 and 4,254.27 is: 6,379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652 : 17,473.74 = 4,254.27 : x
  2. Step 2: Convert to fraction form
    11,652/17,473.74 = 4,254.27/x
  3. Step 3: Cross multiply
    11,652x = 17,473.74 × 4,254.27
  4. Step 4: Simplify right side
    11,652x = 74,338,007.87
  5. Step 5: Solve for x
    x = 74,338,007.87/11,652
  6. Step 6: Final answer
    x = 6,379.85

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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.