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Finding the Fourth Proportional to 6,416.26, 8,854.01 and 3,583.49

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Solution

The fourth proportional to 6,416.26, 8,854.01 and 3,583.49 is: 4,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.26 : 8,854.01 = 3,583.49 : x
  2. Step 2: Convert to fraction form
    6,416.26/8,854.01 = 3,583.49/x
  3. Step 3: Cross multiply
    6,416.26x = 8,854.01 × 3,583.49
  4. Step 4: Simplify right side
    6,416.26x = 31,728,257.35
  5. Step 5: Solve for x
    x = 31,728,257.35/6,416.26
  6. Step 6: Final answer
    x = 4,944.97

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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.