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Finding the Fourth Proportional to 6,847.69, 10,222 and 6,017.32

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Solution

The fourth proportional to 6,847.69, 10,222 and 6,017.32 is: 8,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.69 : 10,222 = 6,017.32 : x
  2. Step 2: Convert to fraction form
    6,847.69/10,222 = 6,017.32/x
  3. Step 3: Cross multiply
    6,847.69x = 10,222 × 6,017.32
  4. Step 4: Simplify right side
    6,847.69x = 61,508,993.93
  5. Step 5: Solve for x
    x = 61,508,993.93/6,847.69
  6. Step 6: Final answer
    x = 8,982.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.