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Finding the Fourth Proportional to 11,664, 16,096.32 and 6,696.96

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Solution

The fourth proportional to 11,664, 16,096.32 and 6,696.96 is: 9,241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664 : 16,096.32 = 6,696.96 : x
  2. Step 2: Convert to fraction form
    11,664/16,096.32 = 6,696.96/x
  3. Step 3: Cross multiply
    11,664x = 16,096.32 × 6,696.96
  4. Step 4: Simplify right side
    11,664x = 107,796,411.19
  5. Step 5: Solve for x
    x = 107,796,411.19/11,664
  6. Step 6: Final answer
    x = 9,241.80

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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.