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Finding the Fourth Proportional to 11,993.16, 17,989.59 and 5,414.75

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Solution

The fourth proportional to 11,993.16, 17,989.59 and 5,414.75 is: 8,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.16 : 17,989.59 = 5,414.75 : x
  2. Step 2: Convert to fraction form
    11,993.16/17,989.59 = 5,414.75/x
  3. Step 3: Cross multiply
    11,993.16x = 17,989.59 × 5,414.75
  4. Step 4: Simplify right side
    11,993.16x = 97,409,130.27
  5. Step 5: Solve for x
    x = 97,409,130.27/11,993.16
  6. Step 6: Final answer
    x = 8,122.05

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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.