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Finding the Fourth Proportional to 12,091.82, 16,687.14 and 7,059.26

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Solution

The fourth proportional to 12,091.82, 16,687.14 and 7,059.26 is: 9,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.82 : 16,687.14 = 7,059.26 : x
  2. Step 2: Convert to fraction form
    12,091.82/16,687.14 = 7,059.26/x
  3. Step 3: Cross multiply
    12,091.82x = 16,687.14 × 7,059.26
  4. Step 4: Simplify right side
    12,091.82x = 117,798,859.92
  5. Step 5: Solve for x
    x = 117,798,859.92/12,091.82
  6. Step 6: Final answer
    x = 9,742.03

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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.