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Finding the Fourth Proportional to 11,399.76, 17,099.46 and 5,849.90

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Solution

The fourth proportional to 11,399.76, 17,099.46 and 5,849.90 is: 8,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.76 : 17,099.46 = 5,849.90 : x
  2. Step 2: Convert to fraction form
    11,399.76/17,099.46 = 5,849.90/x
  3. Step 3: Cross multiply
    11,399.76x = 17,099.46 × 5,849.90
  4. Step 4: Simplify right side
    11,399.76x = 100,030,131.05
  5. Step 5: Solve for x
    x = 100,030,131.05/11,399.76
  6. Step 6: Final answer
    x = 8,774.76

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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.