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Finding the Fourth Proportional to 6,599.60, 9,906.60 and 4,137.20

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Solution

The fourth proportional to 6,599.60, 9,906.60 and 4,137.20 is: 6,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.60 : 9,906.60 = 4,137.20 : x
  2. Step 2: Convert to fraction form
    6,599.60/9,906.60 = 4,137.20/x
  3. Step 3: Cross multiply
    6,599.60x = 9,906.60 × 4,137.20
  4. Step 4: Simplify right side
    6,599.60x = 40,985,585.52
  5. Step 5: Solve for x
    x = 40,985,585.52/6,599.60
  6. Step 6: Final answer
    x = 6,210.31

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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.