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Finding the Fourth Proportional to 6,375.84, 9,555.64 and 3,604.06

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Solution

The fourth proportional to 6,375.84, 9,555.64 and 3,604.06 is: 5,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.84 : 9,555.64 = 3,604.06 : x
  2. Step 2: Convert to fraction form
    6,375.84/9,555.64 = 3,604.06/x
  3. Step 3: Cross multiply
    6,375.84x = 9,555.64 × 3,604.06
  4. Step 4: Simplify right side
    6,375.84x = 34,439,099.90
  5. Step 5: Solve for x
    x = 34,439,099.90/6,375.84
  6. Step 6: Final answer
    x = 5,401.50

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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.