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Finding the Fourth Proportional to 7,230.78, 10,846.17 and 2,035.98

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Solution

The fourth proportional to 7,230.78, 10,846.17 and 2,035.98 is: 3,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.78 : 10,846.17 = 2,035.98 : x
  2. Step 2: Convert to fraction form
    7,230.78/10,846.17 = 2,035.98/x
  3. Step 3: Cross multiply
    7,230.78x = 10,846.17 × 2,035.98
  4. Step 4: Simplify right side
    7,230.78x = 22,082,585.20
  5. Step 5: Solve for x
    x = 22,082,585.20/7,230.78
  6. Step 6: Final answer
    x = 3,053.97

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1.5x scale

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.