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Finding the Fourth Proportional to 9,334.92, 13,934.09 and 8,227.79

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Solution

The fourth proportional to 9,334.92, 13,934.09 and 8,227.79 is: 12,281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.92 : 13,934.09 = 8,227.79 : x
  2. Step 2: Convert to fraction form
    9,334.92/13,934.09 = 8,227.79/x
  3. Step 3: Cross multiply
    9,334.92x = 13,934.09 × 8,227.79
  4. Step 4: Simplify right side
    9,334.92x = 114,646,725.22
  5. Step 5: Solve for x
    x = 114,646,725.22/9,334.92
  6. Step 6: Final answer
    x = 12,281.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.