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Finding the Fourth Proportional to 6,866.64, 10,302.84 and 2,250

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Solution

The fourth proportional to 6,866.64, 10,302.84 and 2,250 is: 3,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.64 : 10,302.84 = 2,250 : x
  2. Step 2: Convert to fraction form
    6,866.64/10,302.84 = 2,250/x
  3. Step 3: Cross multiply
    6,866.64x = 10,302.84 × 2,250
  4. Step 4: Simplify right side
    6,866.64x = 23,181,390
  5. Step 5: Solve for x
    x = 23,181,390/6,866.64
  6. Step 6: Final answer
    x = 3,375.94

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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.