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Finding the Fourth Proportional to 6,384.54, 9,575.79 and 3,266.85

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Solution

The fourth proportional to 6,384.54, 9,575.79 and 3,266.85 is: 4,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.54 : 9,575.79 = 3,266.85 : x
  2. Step 2: Convert to fraction form
    6,384.54/9,575.79 = 3,266.85/x
  3. Step 3: Cross multiply
    6,384.54x = 9,575.79 × 3,266.85
  4. Step 4: Simplify right side
    6,384.54x = 31,282,669.56
  5. Step 5: Solve for x
    x = 31,282,669.56/6,384.54
  6. Step 6: Final answer
    x = 4,899.75

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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.