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Finding the Fourth Proportional to 11,967.61, 17,951.42 and 5,726.15

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Solution

The fourth proportional to 11,967.61, 17,951.42 and 5,726.15 is: 8,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.61 : 17,951.42 = 5,726.15 : x
  2. Step 2: Convert to fraction form
    11,967.61/17,951.42 = 5,726.15/x
  3. Step 3: Cross multiply
    11,967.61x = 17,951.42 × 5,726.15
  4. Step 4: Simplify right side
    11,967.61x = 102,792,419.56
  5. Step 5: Solve for x
    x = 102,792,419.56/11,967.61
  6. Step 6: Final answer
    x = 8,589.22

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1.5x scale

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.