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Finding the Fourth Proportional to 6,571.96, 9,849.74 and 3,286.00

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Solution

The fourth proportional to 6,571.96, 9,849.74 and 3,286.00 is: 4,924.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.96 : 9,849.74 = 3,286.00 : x
  2. Step 2: Convert to fraction form
    6,571.96/9,849.74 = 3,286.00/x
  3. Step 3: Cross multiply
    6,571.96x = 9,849.74 × 3,286.00
  4. Step 4: Simplify right side
    6,571.96x = 32,366,204.60
  5. Step 5: Solve for x
    x = 32,366,204.60/6,571.96
  6. Step 6: Final answer
    x = 4,924.89

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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.