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Finding the Fourth Proportional to 6,416.83, 8,855.31 and 3,584.44

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Solution

The fourth proportional to 6,416.83, 8,855.31 and 3,584.44 is: 4,946.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.83 : 8,855.31 = 3,584.44 : x
  2. Step 2: Convert to fraction form
    6,416.83/8,855.31 = 3,584.44/x
  3. Step 3: Cross multiply
    6,416.83x = 8,855.31 × 3,584.44
  4. Step 4: Simplify right side
    6,416.83x = 31,741,327.38
  5. Step 5: Solve for x
    x = 31,741,327.38/6,416.83
  6. Step 6: Final answer
    x = 4,946.57

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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.