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Finding the Fourth Proportional to 6,401.84, 9,604.04 and 2,704.05

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Solution

The fourth proportional to 6,401.84, 9,604.04 and 2,704.05 is: 4,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.84 : 9,604.04 = 2,704.05 : x
  2. Step 2: Convert to fraction form
    6,401.84/9,604.04 = 2,704.05/x
  3. Step 3: Cross multiply
    6,401.84x = 9,604.04 × 2,704.05
  4. Step 4: Simplify right side
    6,401.84x = 25,969,790.84
  5. Step 5: Solve for x
    x = 25,969,790.84/6,401.84
  6. Step 6: Final answer
    x = 4,056.62

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1.5x scale

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.