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Finding the Fourth Proportional to 6,469.81, 9,697.79 and 3,346.67

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Solution

The fourth proportional to 6,469.81, 9,697.79 and 3,346.67 is: 5,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.81 : 9,697.79 = 3,346.67 : x
  2. Step 2: Convert to fraction form
    6,469.81/9,697.79 = 3,346.67/x
  3. Step 3: Cross multiply
    6,469.81x = 9,697.79 × 3,346.67
  4. Step 4: Simplify right side
    6,469.81x = 32,455,335.47
  5. Step 5: Solve for x
    x = 32,455,335.47/6,469.81
  6. Step 6: Final answer
    x = 5,016.43

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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.