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Finding the Fourth Proportional to 11,617.44, 17,434.92 and 5,381.82

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Solution

The fourth proportional to 11,617.44, 17,434.92 and 5,381.82 is: 8,076.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.44 : 17,434.92 = 5,381.82 : x
  2. Step 2: Convert to fraction form
    11,617.44/17,434.92 = 5,381.82/x
  3. Step 3: Cross multiply
    11,617.44x = 17,434.92 × 5,381.82
  4. Step 4: Simplify right side
    11,617.44x = 93,831,574.25
  5. Step 5: Solve for x
    x = 93,831,574.25/11,617.44
  6. Step 6: Final answer
    x = 8,076.79

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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.