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Finding the Fourth Proportional to 4,107.86, 6,162.13 and 1,767.93

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Solution

The fourth proportional to 4,107.86, 6,162.13 and 1,767.93 is: 2,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.86 : 6,162.13 = 1,767.93 : x
  2. Step 2: Convert to fraction form
    4,107.86/6,162.13 = 1,767.93/x
  3. Step 3: Cross multiply
    4,107.86x = 6,162.13 × 1,767.93
  4. Step 4: Simplify right side
    4,107.86x = 10,894,183.65
  5. Step 5: Solve for x
    x = 10,894,183.65/4,107.86
  6. Step 6: Final answer
    x = 2,652.03

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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.