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Finding the Fourth Proportional to 12,107.66, 16,706.79 and 6,801.41

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Solution

The fourth proportional to 12,107.66, 16,706.79 and 6,801.41 is: 9,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.66 : 16,706.79 = 6,801.41 : x
  2. Step 2: Convert to fraction form
    12,107.66/16,706.79 = 6,801.41/x
  3. Step 3: Cross multiply
    12,107.66x = 16,706.79 × 6,801.41
  4. Step 4: Simplify right side
    12,107.66x = 113,629,770.34
  5. Step 5: Solve for x
    x = 113,629,770.34/12,107.66
  6. Step 6: Final answer
    x = 9,384.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.