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Finding the Fourth Proportional to 11,843.76, 16,344.36 and 7,066.92

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Solution

The fourth proportional to 11,843.76, 16,344.36 and 7,066.92 is: 9,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.76 : 16,344.36 = 7,066.92 : x
  2. Step 2: Convert to fraction form
    11,843.76/16,344.36 = 7,066.92/x
  3. Step 3: Cross multiply
    11,843.76x = 16,344.36 × 7,066.92
  4. Step 4: Simplify right side
    11,843.76x = 115,504,284.57
  5. Step 5: Solve for x
    x = 115,504,284.57/11,843.76
  6. Step 6: Final answer
    x = 9,752.33

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Double scale
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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.