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Finding the Fourth Proportional to 4,462.86, 6,691.21 and 1,962.85

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Solution

The fourth proportional to 4,462.86, 6,691.21 and 1,962.85 is: 2,942.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.86 : 6,691.21 = 1,962.85 : x
  2. Step 2: Convert to fraction form
    4,462.86/6,691.21 = 1,962.85/x
  3. Step 3: Cross multiply
    4,462.86x = 6,691.21 × 1,962.85
  4. Step 4: Simplify right side
    4,462.86x = 13,133,832.46
  5. Step 5: Solve for x
    x = 13,133,832.46/4,462.86
  6. Step 6: Final answer
    x = 2,942.92

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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.