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Finding the Fourth Proportional to 6,466.75, 9,671.78 and 5,993.85

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Solution

The fourth proportional to 6,466.75, 9,671.78 and 5,993.85 is: 8,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.75 : 9,671.78 = 5,993.85 : x
  2. Step 2: Convert to fraction form
    6,466.75/9,671.78 = 5,993.85/x
  3. Step 3: Cross multiply
    6,466.75x = 9,671.78 × 5,993.85
  4. Step 4: Simplify right side
    6,466.75x = 57,971,213.54
  5. Step 5: Solve for x
    x = 57,971,213.54/6,466.75
  6. Step 6: Final answer
    x = 8,964.51

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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.