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Finding the Fourth Proportional to 5,194.98, 7,792.49 and 1,299.39

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Solution

The fourth proportional to 5,194.98, 7,792.49 and 1,299.39 is: 1,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.98 : 7,792.49 = 1,299.39 : x
  2. Step 2: Convert to fraction form
    5,194.98/7,792.49 = 1,299.39/x
  3. Step 3: Cross multiply
    5,194.98x = 7,792.49 × 1,299.39
  4. Step 4: Simplify right side
    5,194.98x = 10,125,483.58
  5. Step 5: Solve for x
    x = 10,125,483.58/5,194.98
  6. Step 6: Final answer
    x = 1,949.09

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Double scale
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Similar ratio
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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.