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Finding the Fourth Proportional to 6,494.68, 8,960.25 and 4,257.79

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Solution

The fourth proportional to 6,494.68, 8,960.25 and 4,257.79 is: 5,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.68 : 8,960.25 = 4,257.79 : x
  2. Step 2: Convert to fraction form
    6,494.68/8,960.25 = 4,257.79/x
  3. Step 3: Cross multiply
    6,494.68x = 8,960.25 × 4,257.79
  4. Step 4: Simplify right side
    6,494.68x = 38,150,818.05
  5. Step 5: Solve for x
    x = 38,150,818.05/6,494.68
  6. Step 6: Final answer
    x = 5,874.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.