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Finding the Fourth Proportional to 6,288.21, 8,676.21 and 3,635.46

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Solution

The fourth proportional to 6,288.21, 8,676.21 and 3,635.46 is: 5,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.21 : 8,676.21 = 3,635.46 : x
  2. Step 2: Convert to fraction form
    6,288.21/8,676.21 = 3,635.46/x
  3. Step 3: Cross multiply
    6,288.21x = 8,676.21 × 3,635.46
  4. Step 4: Simplify right side
    6,288.21x = 31,542,014.41
  5. Step 5: Solve for x
    x = 31,542,014.41/6,288.21
  6. Step 6: Final answer
    x = 5,016.06

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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.