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Finding the Fourth Proportional to 11,706.68, 17,544.69 and 10,222.16

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Solution

The fourth proportional to 11,706.68, 17,544.69 and 10,222.16 is: 15,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.68 : 17,544.69 = 10,222.16 : x
  2. Step 2: Convert to fraction form
    11,706.68/17,544.69 = 10,222.16/x
  3. Step 3: Cross multiply
    11,706.68x = 17,544.69 × 10,222.16
  4. Step 4: Simplify right side
    11,706.68x = 179,344,540.61
  5. Step 5: Solve for x
    x = 179,344,540.61/11,706.68
  6. Step 6: Final answer
    x = 15,319.85

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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.