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Finding the Fourth Proportional to 11,857.46, 17,759.97 and 7,684.84

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Solution

The fourth proportional to 11,857.46, 17,759.97 and 7,684.84 is: 11,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.46 : 17,759.97 = 7,684.84 : x
  2. Step 2: Convert to fraction form
    11,857.46/17,759.97 = 7,684.84/x
  3. Step 3: Cross multiply
    11,857.46x = 17,759.97 × 7,684.84
  4. Step 4: Simplify right side
    11,857.46x = 136,482,550.05
  5. Step 5: Solve for x
    x = 136,482,550.05/11,857.46
  6. Step 6: Final answer
    x = 11,510.27

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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.