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Finding the Fourth Proportional to 6,249.46, 8,624 and 3,454.78

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Solution

The fourth proportional to 6,249.46, 8,624 and 3,454.78 is: 4,767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.46 : 8,624 = 3,454.78 : x
  2. Step 2: Convert to fraction form
    6,249.46/8,624 = 3,454.78/x
  3. Step 3: Cross multiply
    6,249.46x = 8,624 × 3,454.78
  4. Step 4: Simplify right side
    6,249.46x = 29,794,022.72
  5. Step 5: Solve for x
    x = 29,794,022.72/6,249.46
  6. Step 6: Final answer
    x = 4,767.46

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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.