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Finding the Fourth Proportional to 6,286.06, 8,676.32 and 3,635

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Solution

The fourth proportional to 6,286.06, 8,676.32 and 3,635 is: 5,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.06 : 8,676.32 = 3,635 : x
  2. Step 2: Convert to fraction form
    6,286.06/8,676.32 = 3,635/x
  3. Step 3: Cross multiply
    6,286.06x = 8,676.32 × 3,635
  4. Step 4: Simplify right side
    6,286.06x = 31,538,405.03
  5. Step 5: Solve for x
    x = 31,538,405.03/6,286.06
  6. Step 6: Final answer
    x = 5,017.20

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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.