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Finding the Fourth Proportional to 6,553.60, 9,824.24 and 2,392.64

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Solution

The fourth proportional to 6,553.60, 9,824.24 and 2,392.64 is: 3,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.60 : 9,824.24 = 2,392.64 : x
  2. Step 2: Convert to fraction form
    6,553.60/9,824.24 = 2,392.64/x
  3. Step 3: Cross multiply
    6,553.60x = 9,824.24 × 2,392.64
  4. Step 4: Simplify right side
    6,553.60x = 23,505,869.59
  5. Step 5: Solve for x
    x = 23,505,869.59/6,553.60
  6. Step 6: Final answer
    x = 3,586.71

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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.