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Finding the Fourth Proportional to 15,863.28, 21,891 and 8,789.64

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Solution

The fourth proportional to 15,863.28, 21,891 and 8,789.64 is: 12,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,863.28 : 21,891 = 8,789.64 : x
  2. Step 2: Convert to fraction form
    15,863.28/21,891 = 8,789.64/x
  3. Step 3: Cross multiply
    15,863.28x = 21,891 × 8,789.64
  4. Step 4: Simplify right side
    15,863.28x = 192,414,009.24
  5. Step 5: Solve for x
    x = 192,414,009.24/15,863.28
  6. Step 6: Final answer
    x = 12,129.52

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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.