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Finding the Fourth Proportional to 12,839, 17,717.60 and 7,173.84

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Solution

The fourth proportional to 12,839, 17,717.60 and 7,173.84 is: 9,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839 : 17,717.60 = 7,173.84 : x
  2. Step 2: Convert to fraction form
    12,839/17,717.60 = 7,173.84/x
  3. Step 3: Cross multiply
    12,839x = 17,717.60 × 7,173.84
  4. Step 4: Simplify right side
    12,839x = 127,103,227.58
  5. Step 5: Solve for x
    x = 127,103,227.58/12,839
  6. Step 6: Final answer
    x = 9,899.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.