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Finding the Fourth Proportional to 6,552.53, 9,822.60 and 2,167.60

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Solution

The fourth proportional to 6,552.53, 9,822.60 and 2,167.60 is: 3,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.53 : 9,822.60 = 2,167.60 : x
  2. Step 2: Convert to fraction form
    6,552.53/9,822.60 = 2,167.60/x
  3. Step 3: Cross multiply
    6,552.53x = 9,822.60 × 2,167.60
  4. Step 4: Simplify right side
    6,552.53x = 21,291,467.76
  5. Step 5: Solve for x
    x = 21,291,467.76/6,552.53
  6. Step 6: Final answer
    x = 3,249.35

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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.