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Finding the Fourth Proportional to 5,630.97, 7,766.61 and 4,883.63

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Solution

The fourth proportional to 5,630.97, 7,766.61 and 4,883.63 is: 6,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.97 : 7,766.61 = 4,883.63 : x
  2. Step 2: Convert to fraction form
    5,630.97/7,766.61 = 4,883.63/x
  3. Step 3: Cross multiply
    5,630.97x = 7,766.61 × 4,883.63
  4. Step 4: Simplify right side
    5,630.97x = 37,929,249.59
  5. Step 5: Solve for x
    x = 37,929,249.59/5,630.97
  6. Step 6: Final answer
    x = 6,735.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.