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Finding the Fourth Proportional to 27,706.14, 41,559.12 and 7,984.80

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Solution

The fourth proportional to 27,706.14, 41,559.12 and 7,984.80 is: 11,977.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.14 : 41,559.12 = 7,984.80 : x
  2. Step 2: Convert to fraction form
    27,706.14/41,559.12 = 7,984.80/x
  3. Step 3: Cross multiply
    27,706.14x = 41,559.12 × 7,984.80
  4. Step 4: Simplify right side
    27,706.14x = 331,841,261.38
  5. Step 5: Solve for x
    x = 331,841,261.38/27,706.14
  6. Step 6: Final answer
    x = 11,977.17

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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.