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Finding the Fourth Proportional to 8,294.64, 11,441.22 and 5,305.74

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Solution

The fourth proportional to 8,294.64, 11,441.22 and 5,305.74 is: 7,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.64 : 11,441.22 = 5,305.74 : x
  2. Step 2: Convert to fraction form
    8,294.64/11,441.22 = 5,305.74/x
  3. Step 3: Cross multiply
    8,294.64x = 11,441.22 × 5,305.74
  4. Step 4: Simplify right side
    8,294.64x = 60,704,138.60
  5. Step 5: Solve for x
    x = 60,704,138.60/8,294.64
  6. Step 6: Final answer
    x = 7,318.48

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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.