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Finding the Fourth Proportional to 8,399.84, 12,602.22 and 3,469.76

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Solution

The fourth proportional to 8,399.84, 12,602.22 and 3,469.76 is: 5,205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.84 : 12,602.22 = 3,469.76 : x
  2. Step 2: Convert to fraction form
    8,399.84/12,602.22 = 3,469.76/x
  3. Step 3: Cross multiply
    8,399.84x = 12,602.22 × 3,469.76
  4. Step 4: Simplify right side
    8,399.84x = 43,726,678.87
  5. Step 5: Solve for x
    x = 43,726,678.87/8,399.84
  6. Step 6: Final answer
    x = 5,205.66

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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.