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Finding the Fourth Proportional to 14,863.97, 20,512.98 and 8,894.54

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Solution

The fourth proportional to 14,863.97, 20,512.98 and 8,894.54 is: 12,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.97 : 20,512.98 = 8,894.54 : x
  2. Step 2: Convert to fraction form
    14,863.97/20,512.98 = 8,894.54/x
  3. Step 3: Cross multiply
    14,863.97x = 20,512.98 × 8,894.54
  4. Step 4: Simplify right side
    14,863.97x = 182,453,572.41
  5. Step 5: Solve for x
    x = 182,453,572.41/14,863.97
  6. Step 6: Final answer
    x = 12,274.89

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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.