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Finding the Fourth Proportional to 6,458.84, 8,909.60 and 4,067.92

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Solution

The fourth proportional to 6,458.84, 8,909.60 and 4,067.92 is: 5,611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.84 : 8,909.60 = 4,067.92 : x
  2. Step 2: Convert to fraction form
    6,458.84/8,909.60 = 4,067.92/x
  3. Step 3: Cross multiply
    6,458.84x = 8,909.60 × 4,067.92
  4. Step 4: Simplify right side
    6,458.84x = 36,243,540.03
  5. Step 5: Solve for x
    x = 36,243,540.03/6,458.84
  6. Step 6: Final answer
    x = 5,611.46

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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.