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Finding the Fourth Proportional to 4,517.46, 6,783.08 and 4,294.71

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Solution

The fourth proportional to 4,517.46, 6,783.08 and 4,294.71 is: 6,448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.46 : 6,783.08 = 4,294.71 : x
  2. Step 2: Convert to fraction form
    4,517.46/6,783.08 = 4,294.71/x
  3. Step 3: Cross multiply
    4,517.46x = 6,783.08 × 4,294.71
  4. Step 4: Simplify right side
    4,517.46x = 29,131,340.03
  5. Step 5: Solve for x
    x = 29,131,340.03/4,517.46
  6. Step 6: Final answer
    x = 6,448.61

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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.