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Finding the Fourth Proportional to 11,881.84, 17,806.13 and 7,883.92

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Solution

The fourth proportional to 11,881.84, 17,806.13 and 7,883.92 is: 11,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.84 : 17,806.13 = 7,883.92 : x
  2. Step 2: Convert to fraction form
    11,881.84/17,806.13 = 7,883.92/x
  3. Step 3: Cross multiply
    11,881.84x = 17,806.13 × 7,883.92
  4. Step 4: Simplify right side
    11,881.84x = 140,382,161.18
  5. Step 5: Solve for x
    x = 140,382,161.18/11,881.84
  6. Step 6: Final answer
    x = 11,814.85

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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.