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Finding the Fourth Proportional to 6,982.84, 10,474.94 and 2,300.93

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Solution

The fourth proportional to 6,982.84, 10,474.94 and 2,300.93 is: 3,451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.84 : 10,474.94 = 2,300.93 : x
  2. Step 2: Convert to fraction form
    6,982.84/10,474.94 = 2,300.93/x
  3. Step 3: Cross multiply
    6,982.84x = 10,474.94 × 2,300.93
  4. Step 4: Simplify right side
    6,982.84x = 24,102,092.19
  5. Step 5: Solve for x
    x = 24,102,092.19/6,982.84
  6. Step 6: Final answer
    x = 3,451.62

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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.