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Finding the Fourth Proportional to 11,776.94, 16,235.07 and 8,229.14

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Solution

The fourth proportional to 11,776.94, 16,235.07 and 8,229.14 is: 11,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.94 : 16,235.07 = 8,229.14 : x
  2. Step 2: Convert to fraction form
    11,776.94/16,235.07 = 8,229.14/x
  3. Step 3: Cross multiply
    11,776.94x = 16,235.07 × 8,229.14
  4. Step 4: Simplify right side
    11,776.94x = 133,600,663.94
  5. Step 5: Solve for x
    x = 133,600,663.94/11,776.94
  6. Step 6: Final answer
    x = 11,344.26

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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.