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Finding the Fourth Proportional to 6,584.24, 9,087.24 and 3,789.20

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Solution

The fourth proportional to 6,584.24, 9,087.24 and 3,789.20 is: 5,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.24 : 9,087.24 = 3,789.20 : x
  2. Step 2: Convert to fraction form
    6,584.24/9,087.24 = 3,789.20/x
  3. Step 3: Cross multiply
    6,584.24x = 9,087.24 × 3,789.20
  4. Step 4: Simplify right side
    6,584.24x = 34,433,369.81
  5. Step 5: Solve for x
    x = 34,433,369.81/6,584.24
  6. Step 6: Final answer
    x = 5,229.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.