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Finding the Fourth Proportional to 6,982.77, 10,476.10 and 2,825.69

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Solution

The fourth proportional to 6,982.77, 10,476.10 and 2,825.69 is: 4,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.77 : 10,476.10 = 2,825.69 : x
  2. Step 2: Convert to fraction form
    6,982.77/10,476.10 = 2,825.69/x
  3. Step 3: Cross multiply
    6,982.77x = 10,476.10 × 2,825.69
  4. Step 4: Simplify right side
    6,982.77x = 29,602,250.55
  5. Step 5: Solve for x
    x = 29,602,250.55/6,982.77
  6. Step 6: Final answer
    x = 4,239.33

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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.