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Finding the Fourth Proportional to 6,080.96, 9,123.60 and 2,186.48

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Solution

The fourth proportional to 6,080.96, 9,123.60 and 2,186.48 is: 3,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080.96 : 9,123.60 = 2,186.48 : x
  2. Step 2: Convert to fraction form
    6,080.96/9,123.60 = 2,186.48/x
  3. Step 3: Cross multiply
    6,080.96x = 9,123.60 × 2,186.48
  4. Step 4: Simplify right side
    6,080.96x = 19,948,568.93
  5. Step 5: Solve for x
    x = 19,948,568.93/6,080.96
  6. Step 6: Final answer
    x = 3,280.50

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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.