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Finding the Fourth Proportional to 6,899.25, 10,348.92 and 2,282.25

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Solution

The fourth proportional to 6,899.25, 10,348.92 and 2,282.25 is: 3,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.25 : 10,348.92 = 2,282.25 : x
  2. Step 2: Convert to fraction form
    6,899.25/10,348.92 = 2,282.25/x
  3. Step 3: Cross multiply
    6,899.25x = 10,348.92 × 2,282.25
  4. Step 4: Simplify right side
    6,899.25x = 23,618,822.67
  5. Step 5: Solve for x
    x = 23,618,822.67/6,899.25
  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.