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Finding the Fourth Proportional to 6,451.88, 9,677.82 and 2,348.20

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Solution

The fourth proportional to 6,451.88, 9,677.82 and 2,348.20 is: 3,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.88 : 9,677.82 = 2,348.20 : x
  2. Step 2: Convert to fraction form
    6,451.88/9,677.82 = 2,348.20/x
  3. Step 3: Cross multiply
    6,451.88x = 9,677.82 × 2,348.20
  4. Step 4: Simplify right side
    6,451.88x = 22,725,456.92
  5. Step 5: Solve for x
    x = 22,725,456.92/6,451.88
  6. Step 6: Final answer
    x = 3,522.30

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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.