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Finding the Fourth Proportional to 10,976.80, 16,481.40 and 8,514.40

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Solution

The fourth proportional to 10,976.80, 16,481.40 and 8,514.40 is: 12,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.80 : 16,481.40 = 8,514.40 : x
  2. Step 2: Convert to fraction form
    10,976.80/16,481.40 = 8,514.40/x
  3. Step 3: Cross multiply
    10,976.80x = 16,481.40 × 8,514.40
  4. Step 4: Simplify right side
    10,976.80x = 140,329,232.16
  5. Step 5: Solve for x
    x = 140,329,232.16/10,976.80
  6. Step 6: Final answer
    x = 12,784.17

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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.