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Finding the Fourth Proportional to 6,633.84, 9,942.56 and 3,347.87

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Solution

The fourth proportional to 6,633.84, 9,942.56 and 3,347.87 is: 5,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.84 : 9,942.56 = 3,347.87 : x
  2. Step 2: Convert to fraction form
    6,633.84/9,942.56 = 3,347.87/x
  3. Step 3: Cross multiply
    6,633.84x = 9,942.56 × 3,347.87
  4. Step 4: Simplify right side
    6,633.84x = 33,286,419.02
  5. Step 5: Solve for x
    x = 33,286,419.02/6,633.84
  6. Step 6: Final answer
    x = 5,017.67

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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.