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Finding the Fourth Proportional to 6,615.36, 9,922.43 and 2,232.86

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Solution

The fourth proportional to 6,615.36, 9,922.43 and 2,232.86 is: 3,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.36 : 9,922.43 = 2,232.86 : x
  2. Step 2: Convert to fraction form
    6,615.36/9,922.43 = 2,232.86/x
  3. Step 3: Cross multiply
    6,615.36x = 9,922.43 × 2,232.86
  4. Step 4: Simplify right side
    6,615.36x = 22,155,336.27
  5. Step 5: Solve for x
    x = 22,155,336.27/6,615.36
  6. Step 6: Final answer
    x = 3,349.07

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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.