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Finding the Fourth Proportional to 8,222.97, 12,334.42 and 2,957.97

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Solution

The fourth proportional to 8,222.97, 12,334.42 and 2,957.97 is: 4,436.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.97 : 12,334.42 = 2,957.97 : x
  2. Step 2: Convert to fraction form
    8,222.97/12,334.42 = 2,957.97/x
  3. Step 3: Cross multiply
    8,222.97x = 12,334.42 × 2,957.97
  4. Step 4: Simplify right side
    8,222.97x = 36,484,813.49
  5. Step 5: Solve for x
    x = 36,484,813.49/8,222.97
  6. Step 6: Final answer
    x = 4,436.94

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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.