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Finding the Fourth Proportional to 6,352.55, 9,529.17 and 2,135.74

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Solution

The fourth proportional to 6,352.55, 9,529.17 and 2,135.74 is: 3,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.55 : 9,529.17 = 2,135.74 : x
  2. Step 2: Convert to fraction form
    6,352.55/9,529.17 = 2,135.74/x
  3. Step 3: Cross multiply
    6,352.55x = 9,529.17 × 2,135.74
  4. Step 4: Simplify right side
    6,352.55x = 20,351,848.38
  5. Step 5: Solve for x
    x = 20,351,848.38/6,352.55
  6. Step 6: Final answer
    x = 3,203.73

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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.