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Finding the Fourth Proportional to 11,640.96, 17,461.13 and 5,067.14

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Solution

The fourth proportional to 11,640.96, 17,461.13 and 5,067.14 is: 7,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.96 : 17,461.13 = 5,067.14 : x
  2. Step 2: Convert to fraction form
    11,640.96/17,461.13 = 5,067.14/x
  3. Step 3: Cross multiply
    11,640.96x = 17,461.13 × 5,067.14
  4. Step 4: Simplify right side
    11,640.96x = 88,477,877.63
  5. Step 5: Solve for x
    x = 88,477,877.63/11,640.96
  6. Step 6: Final answer
    x = 7,600.57

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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.