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Finding the Fourth Proportional to 14,706.97, 22,035.24 and 9,706.23

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Solution

The fourth proportional to 14,706.97, 22,035.24 and 9,706.23 is: 14,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.97 : 22,035.24 = 9,706.23 : x
  2. Step 2: Convert to fraction form
    14,706.97/22,035.24 = 9,706.23/x
  3. Step 3: Cross multiply
    14,706.97x = 22,035.24 × 9,706.23
  4. Step 4: Simplify right side
    14,706.97x = 213,879,107.55
  5. Step 5: Solve for x
    x = 213,879,107.55/14,706.97
  6. Step 6: Final answer
    x = 14,542.71

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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.