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Finding the Fourth Proportional to 10,984.88, 16,480.02 and 3,193.76

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Solution

The fourth proportional to 10,984.88, 16,480.02 and 3,193.76 is: 4,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.88 : 16,480.02 = 3,193.76 : x
  2. Step 2: Convert to fraction form
    10,984.88/16,480.02 = 3,193.76/x
  3. Step 3: Cross multiply
    10,984.88x = 16,480.02 × 3,193.76
  4. Step 4: Simplify right side
    10,984.88x = 52,633,228.68
  5. Step 5: Solve for x
    x = 52,633,228.68/10,984.88
  6. Step 6: Final answer
    x = 4,791.43

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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.