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Finding the Fourth Proportional to 11,584.62, 15,883.62 and 11,473.91

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Solution

The fourth proportional to 11,584.62, 15,883.62 and 11,473.91 is: 15,731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.62 : 15,883.62 = 11,473.91 : x
  2. Step 2: Convert to fraction form
    11,584.62/15,883.62 = 11,473.91/x
  3. Step 3: Cross multiply
    11,584.62x = 15,883.62 × 11,473.91
  4. Step 4: Simplify right side
    11,584.62x = 182,247,146.94
  5. Step 5: Solve for x
    x = 182,247,146.94/11,584.62
  6. Step 6: Final answer
    x = 15,731.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.