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Finding the Fourth Proportional to 15,140.75, 20,894.24 and 8,516.75

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Solution

The fourth proportional to 15,140.75, 20,894.24 and 8,516.75 is: 11,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.75 : 20,894.24 = 8,516.75 : x
  2. Step 2: Convert to fraction form
    15,140.75/20,894.24 = 8,516.75/x
  3. Step 3: Cross multiply
    15,140.75x = 20,894.24 × 8,516.75
  4. Step 4: Simplify right side
    15,140.75x = 177,951,018.52
  5. Step 5: Solve for x
    x = 177,951,018.52/15,140.75
  6. Step 6: Final answer
    x = 11,753.12

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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.