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Finding the Fourth Proportional to 8,454.72, 12,687.12 and 4,709.64

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Solution

The fourth proportional to 8,454.72, 12,687.12 and 4,709.64 is: 7,067.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.72 : 12,687.12 = 4,709.64 : x
  2. Step 2: Convert to fraction form
    8,454.72/12,687.12 = 4,709.64/x
  3. Step 3: Cross multiply
    8,454.72x = 12,687.12 × 4,709.64
  4. Step 4: Simplify right side
    8,454.72x = 59,751,767.84
  5. Step 5: Solve for x
    x = 59,751,767.84/8,454.72
  6. Step 6: Final answer
    x = 7,067.27

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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.