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Finding the Fourth Proportional to 14,472.54, 21,708.27 and 5,238.54

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Solution

The fourth proportional to 14,472.54, 21,708.27 and 5,238.54 is: 7,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.54 : 21,708.27 = 5,238.54 : x
  2. Step 2: Convert to fraction form
    14,472.54/21,708.27 = 5,238.54/x
  3. Step 3: Cross multiply
    14,472.54x = 21,708.27 × 5,238.54
  4. Step 4: Simplify right side
    14,472.54x = 113,719,640.73
  5. Step 5: Solve for x
    x = 113,719,640.73/14,472.54
  6. Step 6: Final answer
    x = 7,857.61

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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.