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Finding the Fourth Proportional to 11,096, 16,644 and 6,475.76

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Solution

The fourth proportional to 11,096, 16,644 and 6,475.76 is: 9,713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096 : 16,644 = 6,475.76 : x
  2. Step 2: Convert to fraction form
    11,096/16,644 = 6,475.76/x
  3. Step 3: Cross multiply
    11,096x = 16,644 × 6,475.76
  4. Step 4: Simplify right side
    11,096x = 107,782,549.44
  5. Step 5: Solve for x
    x = 107,782,549.44/11,096
  6. Step 6: Final answer
    x = 9,713.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.