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Finding the Fourth Proportional to 11,471.50, 17,197.05 and 4,074.98

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Solution

The fourth proportional to 11,471.50, 17,197.05 and 4,074.98 is: 6,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.50 : 17,197.05 = 4,074.98 : x
  2. Step 2: Convert to fraction form
    11,471.50/17,197.05 = 4,074.98/x
  3. Step 3: Cross multiply
    11,471.50x = 17,197.05 × 4,074.98
  4. Step 4: Simplify right side
    11,471.50x = 70,077,634.81
  5. Step 5: Solve for x
    x = 70,077,634.81/11,471.50
  6. Step 6: Final answer
    x = 6,108.85

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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.