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Finding the Fourth Proportional to 11,096.02, 16,644 and 6,475.78

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Solution

The fourth proportional to 11,096.02, 16,644 and 6,475.78 is: 9,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.02 : 16,644 = 6,475.78 : x
  2. Step 2: Convert to fraction form
    11,096.02/16,644 = 6,475.78/x
  3. Step 3: Cross multiply
    11,096.02x = 16,644 × 6,475.78
  4. Step 4: Simplify right side
    11,096.02x = 107,782,882.32
  5. Step 5: Solve for x
    x = 107,782,882.32/11,096.02
  6. Step 6: Final answer
    x = 9,713.65

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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.