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Finding the Fourth Proportional to 6,596.52, 9,849.60 and 5,622.12

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Solution

The fourth proportional to 6,596.52, 9,849.60 and 5,622.12 is: 8,394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.52 : 9,849.60 = 5,622.12 : x
  2. Step 2: Convert to fraction form
    6,596.52/9,849.60 = 5,622.12/x
  3. Step 3: Cross multiply
    6,596.52x = 9,849.60 × 5,622.12
  4. Step 4: Simplify right side
    6,596.52x = 55,375,633.15
  5. Step 5: Solve for x
    x = 55,375,633.15/6,596.52
  6. Step 6: Final answer
    x = 8,394.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.