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Finding the Fourth Proportional to 7,671.97, 11,507.91 and 5,074.30

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Solution

The fourth proportional to 7,671.97, 11,507.91 and 5,074.30 is: 7,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.97 : 11,507.91 = 5,074.30 : x
  2. Step 2: Convert to fraction form
    7,671.97/11,507.91 = 5,074.30/x
  3. Step 3: Cross multiply
    7,671.97x = 11,507.91 × 5,074.30
  4. Step 4: Simplify right side
    7,671.97x = 58,394,587.71
  5. Step 5: Solve for x
    x = 58,394,587.71/7,671.97
  6. Step 6: Final answer
    x = 7,611.42

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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.