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Finding the Fourth Proportional to 6,615.60, 9,922.16 and 2,232.96

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Solution

The fourth proportional to 6,615.60, 9,922.16 and 2,232.96 is: 3,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.60 : 9,922.16 = 2,232.96 : x
  2. Step 2: Convert to fraction form
    6,615.60/9,922.16 = 2,232.96/x
  3. Step 3: Cross multiply
    6,615.60x = 9,922.16 × 2,232.96
  4. Step 4: Simplify right side
    6,615.60x = 22,155,786.39
  5. Step 5: Solve for x
    x = 22,155,786.39/6,615.60
  6. Step 6: Final answer
    x = 3,349.02

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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.