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Finding the Fourth Proportional to 11,896.95, 17,759.94 and 11,031.78

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Solution

The fourth proportional to 11,896.95, 17,759.94 and 11,031.78 is: 16,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.95 : 17,759.94 = 11,031.78 : x
  2. Step 2: Convert to fraction form
    11,896.95/17,759.94 = 11,031.78/x
  3. Step 3: Cross multiply
    11,896.95x = 17,759.94 × 11,031.78
  4. Step 4: Simplify right side
    11,896.95x = 195,923,750.89
  5. Step 5: Solve for x
    x = 195,923,750.89/11,896.95
  6. Step 6: Final answer
    x = 16,468.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.