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Finding the Fourth Proportional to 14,016, 21,024.12 and 3,627.12

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Solution

The fourth proportional to 14,016, 21,024.12 and 3,627.12 is: 5,440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016 : 21,024.12 = 3,627.12 : x
  2. Step 2: Convert to fraction form
    14,016/21,024.12 = 3,627.12/x
  3. Step 3: Cross multiply
    14,016x = 21,024.12 × 3,627.12
  4. Step 4: Simplify right side
    14,016x = 76,257,006.13
  5. Step 5: Solve for x
    x = 76,257,006.13/14,016
  6. Step 6: Final answer
    x = 5,440.71

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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.