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Finding the Fourth Proportional to 6,899.26, 10,348.89 and 2,282.26

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Solution

The fourth proportional to 6,899.26, 10,348.89 and 2,282.26 is: 3,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.26 : 10,348.89 = 2,282.26 : x
  2. Step 2: Convert to fraction form
    6,899.26/10,348.89 = 2,282.26/x
  3. Step 3: Cross multiply
    6,899.26x = 10,348.89 × 2,282.26
  4. Step 4: Simplify right side
    6,899.26x = 23,618,857.69
  5. Step 5: Solve for x
    x = 23,618,857.69/6,899.26
  6. Step 6: Final answer
    x = 3,423.39

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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.