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Finding the Fourth Proportional to 11,706.97, 17,560.47 and 4,781.47

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Solution

The fourth proportional to 11,706.97, 17,560.47 and 4,781.47 is: 7,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.97 : 17,560.47 = 4,781.47 : x
  2. Step 2: Convert to fraction form
    11,706.97/17,560.47 = 4,781.47/x
  3. Step 3: Cross multiply
    11,706.97x = 17,560.47 × 4,781.47
  4. Step 4: Simplify right side
    11,706.97x = 83,964,860.49
  5. Step 5: Solve for x
    x = 83,964,860.49/11,706.97
  6. Step 6: Final answer
    x = 7,172.21

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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.