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Finding the Fourth Proportional to 11,659.85, 17,494.94 and 6,111.87

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Solution

The fourth proportional to 11,659.85, 17,494.94 and 6,111.87 is: 9,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.85 : 17,494.94 = 6,111.87 : x
  2. Step 2: Convert to fraction form
    11,659.85/17,494.94 = 6,111.87/x
  3. Step 3: Cross multiply
    11,659.85x = 17,494.94 × 6,111.87
  4. Step 4: Simplify right side
    11,659.85x = 106,926,768.38
  5. Step 5: Solve for x
    x = 106,926,768.38/11,659.85
  6. Step 6: Final answer
    x = 9,170.51

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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.