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Finding the Fourth Proportional to 11,759.63, 16,230.80 and 7,046.65

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Solution

The fourth proportional to 11,759.63, 16,230.80 and 7,046.65 is: 9,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.63 : 16,230.80 = 7,046.65 : x
  2. Step 2: Convert to fraction form
    11,759.63/16,230.80 = 7,046.65/x
  3. Step 3: Cross multiply
    11,759.63x = 16,230.80 × 7,046.65
  4. Step 4: Simplify right side
    11,759.63x = 114,372,766.82
  5. Step 5: Solve for x
    x = 114,372,766.82/11,759.63
  6. Step 6: Final answer
    x = 9,725.88

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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.