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Finding the Fourth Proportional to 4,011.96, 6,018 and 1,414.92

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Solution

The fourth proportional to 4,011.96, 6,018 and 1,414.92 is: 2,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011.96 : 6,018 = 1,414.92 : x
  2. Step 2: Convert to fraction form
    4,011.96/6,018 = 1,414.92/x
  3. Step 3: Cross multiply
    4,011.96x = 6,018 × 1,414.92
  4. Step 4: Simplify right side
    4,011.96x = 8,514,988.56
  5. Step 5: Solve for x
    x = 8,514,988.56/4,011.96
  6. Step 6: Final answer
    x = 2,122.40

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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.