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Finding the Fourth Proportional to 11,472.57, 17,201.93 and 5,146.29

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Solution

The fourth proportional to 11,472.57, 17,201.93 and 5,146.29 is: 7,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.57 : 17,201.93 = 5,146.29 : x
  2. Step 2: Convert to fraction form
    11,472.57/17,201.93 = 5,146.29/x
  3. Step 3: Cross multiply
    11,472.57x = 17,201.93 × 5,146.29
  4. Step 4: Simplify right side
    11,472.57x = 88,526,178.41
  5. Step 5: Solve for x
    x = 88,526,178.41/11,472.57
  6. Step 6: Final answer
    x = 7,716.33

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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.