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Finding the Fourth Proportional to 11,766.56, 16,237.56 and 6,388.76

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Solution

The fourth proportional to 11,766.56, 16,237.56 and 6,388.76 is: 8,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.56 : 16,237.56 = 6,388.76 : x
  2. Step 2: Convert to fraction form
    11,766.56/16,237.56 = 6,388.76/x
  3. Step 3: Cross multiply
    11,766.56x = 16,237.56 × 6,388.76
  4. Step 4: Simplify right side
    11,766.56x = 103,737,873.83
  5. Step 5: Solve for x
    x = 103,737,873.83/11,766.56
  6. Step 6: Final answer
    x = 8,816.33

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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.