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Finding the Fourth Proportional to 7,198.48, 10,780.44 and 4,114

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Solution

The fourth proportional to 7,198.48, 10,780.44 and 4,114 is: 6,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.48 : 10,780.44 = 4,114 : x
  2. Step 2: Convert to fraction form
    7,198.48/10,780.44 = 4,114/x
  3. Step 3: Cross multiply
    7,198.48x = 10,780.44 × 4,114
  4. Step 4: Simplify right side
    7,198.48x = 44,350,730.16
  5. Step 5: Solve for x
    x = 44,350,730.16/7,198.48
  6. Step 6: Final answer
    x = 6,161.12

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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.