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Finding the Fourth Proportional to 11,759.87, 16,231.14 and 7,046.89

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Solution

The fourth proportional to 11,759.87, 16,231.14 and 7,046.89 is: 9,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.87 : 16,231.14 = 7,046.89 : x
  2. Step 2: Convert to fraction form
    11,759.87/16,231.14 = 7,046.89/x
  3. Step 3: Cross multiply
    11,759.87x = 16,231.14 × 7,046.89
  4. Step 4: Simplify right side
    11,759.87x = 114,379,017.58
  5. Step 5: Solve for x
    x = 114,379,017.58/11,759.87
  6. Step 6: Final answer
    x = 9,726.21

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1.5x scale

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.