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Finding the Fourth Proportional to 14,469.54, 21,706.05 and 5,107.63

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Solution

The fourth proportional to 14,469.54, 21,706.05 and 5,107.63 is: 7,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.54 : 21,706.05 = 5,107.63 : x
  2. Step 2: Convert to fraction form
    14,469.54/21,706.05 = 5,107.63/x
  3. Step 3: Cross multiply
    14,469.54x = 21,706.05 × 5,107.63
  4. Step 4: Simplify right side
    14,469.54x = 110,866,472.16
  5. Step 5: Solve for x
    x = 110,866,472.16/14,469.54
  6. Step 6: Final answer
    x = 7,662.06

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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.