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Finding the Fourth Proportional to 5,194.82, 7,819.98 and 4,659

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Solution

The fourth proportional to 5,194.82, 7,819.98 and 4,659 is: 7,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.82 : 7,819.98 = 4,659 : x
  2. Step 2: Convert to fraction form
    5,194.82/7,819.98 = 4,659/x
  3. Step 3: Cross multiply
    5,194.82x = 7,819.98 × 4,659
  4. Step 4: Simplify right side
    5,194.82x = 36,433,286.82
  5. Step 5: Solve for x
    x = 36,433,286.82/5,194.82
  6. Step 6: Final answer
    x = 7,013.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.