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Finding the Fourth Proportional to 11,616.75, 17,427.29 and 5,460.75

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Solution

The fourth proportional to 11,616.75, 17,427.29 and 5,460.75 is: 8,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.75 : 17,427.29 = 5,460.75 : x
  2. Step 2: Convert to fraction form
    11,616.75/17,427.29 = 5,460.75/x
  3. Step 3: Cross multiply
    11,616.75x = 17,427.29 × 5,460.75
  4. Step 4: Simplify right side
    11,616.75x = 95,166,046.56
  5. Step 5: Solve for x
    x = 95,166,046.56/11,616.75
  6. Step 6: Final answer
    x = 8,192.14

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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.