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Finding the Fourth Proportional to 6,414.77, 9,613.65 and 3,294.65

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Solution

The fourth proportional to 6,414.77, 9,613.65 and 3,294.65 is: 4,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.77 : 9,613.65 = 3,294.65 : x
  2. Step 2: Convert to fraction form
    6,414.77/9,613.65 = 3,294.65/x
  3. Step 3: Cross multiply
    6,414.77x = 9,613.65 × 3,294.65
  4. Step 4: Simplify right side
    6,414.77x = 31,673,611.97
  5. Step 5: Solve for x
    x = 31,673,611.97/6,414.77
  6. Step 6: Final answer
    x = 4,937.61

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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.