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Finding the Fourth Proportional to 11,776.92, 16,266.54 and 8,805.96

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Solution

The fourth proportional to 11,776.92, 16,266.54 and 8,805.96 is: 12,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.92 : 16,266.54 = 8,805.96 : x
  2. Step 2: Convert to fraction form
    11,776.92/16,266.54 = 8,805.96/x
  3. Step 3: Cross multiply
    11,776.92x = 16,266.54 × 8,805.96
  4. Step 4: Simplify right side
    11,776.92x = 143,242,500.58
  5. Step 5: Solve for x
    x = 143,242,500.58/11,776.92
  6. Step 6: Final answer
    x = 12,162.98

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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.