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Finding the Fourth Proportional to 8,378.82, 11,563.29 and 4,652.82

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Solution

The fourth proportional to 8,378.82, 11,563.29 and 4,652.82 is: 6,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.82 : 11,563.29 = 4,652.82 : x
  2. Step 2: Convert to fraction form
    8,378.82/11,563.29 = 4,652.82/x
  3. Step 3: Cross multiply
    8,378.82x = 11,563.29 × 4,652.82
  4. Step 4: Simplify right side
    8,378.82x = 53,801,906.98
  5. Step 5: Solve for x
    x = 53,801,906.98/8,378.82
  6. Step 6: Final answer
    x = 6,421.18

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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.