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Finding the Fourth Proportional to 6,523.66, 9,781.24 and 4,295.75

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Solution

The fourth proportional to 6,523.66, 9,781.24 and 4,295.75 is: 6,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.66 : 9,781.24 = 4,295.75 : x
  2. Step 2: Convert to fraction form
    6,523.66/9,781.24 = 4,295.75/x
  3. Step 3: Cross multiply
    6,523.66x = 9,781.24 × 4,295.75
  4. Step 4: Simplify right side
    6,523.66x = 42,017,761.73
  5. Step 5: Solve for x
    x = 42,017,761.73/6,523.66
  6. Step 6: Final answer
    x = 6,440.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.