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Finding the Fourth Proportional to 6,354.66, 9,533.27 and 2,194.82

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Solution

The fourth proportional to 6,354.66, 9,533.27 and 2,194.82 is: 3,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.66 : 9,533.27 = 2,194.82 : x
  2. Step 2: Convert to fraction form
    6,354.66/9,533.27 = 2,194.82/x
  3. Step 3: Cross multiply
    6,354.66x = 9,533.27 × 2,194.82
  4. Step 4: Simplify right side
    6,354.66x = 20,923,824.52
  5. Step 5: Solve for x
    x = 20,923,824.52/6,354.66
  6. Step 6: Final answer
    x = 3,292.67

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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.