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Finding the Fourth Proportional to 11,662.01, 16,093.62 and 6,356.81

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Solution

The fourth proportional to 11,662.01, 16,093.62 and 6,356.81 is: 8,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.01 : 16,093.62 = 6,356.81 : x
  2. Step 2: Convert to fraction form
    11,662.01/16,093.62 = 6,356.81/x
  3. Step 3: Cross multiply
    11,662.01x = 16,093.62 × 6,356.81
  4. Step 4: Simplify right side
    11,662.01x = 102,304,124.79
  5. Step 5: Solve for x
    x = 102,304,124.79/11,662.01
  6. Step 6: Final answer
    x = 8,772.43

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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.