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Finding the Fourth Proportional to 6,632.82, 9,941.02 and 3,346.85

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Solution

The fourth proportional to 6,632.82, 9,941.02 and 3,346.85 is: 5,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.82 : 9,941.02 = 3,346.85 : x
  2. Step 2: Convert to fraction form
    6,632.82/9,941.02 = 3,346.85/x
  3. Step 3: Cross multiply
    6,632.82x = 9,941.02 × 3,346.85
  4. Step 4: Simplify right side
    6,632.82x = 33,271,119.27
  5. Step 5: Solve for x
    x = 33,271,119.27/6,632.82
  6. Step 6: Final answer
    x = 5,016.13

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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.