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Finding the Fourth Proportional to 12,107.27, 16,706.17 and 6,801.05

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Solution

The fourth proportional to 12,107.27, 16,706.17 and 6,801.05 is: 9,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.27 : 16,706.17 = 6,801.05 : x
  2. Step 2: Convert to fraction form
    12,107.27/16,706.17 = 6,801.05/x
  3. Step 3: Cross multiply
    12,107.27x = 16,706.17 × 6,801.05
  4. Step 4: Simplify right side
    12,107.27x = 113,619,522.24
  5. Step 5: Solve for x
    x = 113,619,522.24/12,107.27
  6. Step 6: Final answer
    x = 9,384.41

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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.