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Finding the Fourth Proportional to 5,194.66, 7,792.23 and 1,299.10

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Solution

The fourth proportional to 5,194.66, 7,792.23 and 1,299.10 is: 1,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.66 : 7,792.23 = 1,299.10 : x
  2. Step 2: Convert to fraction form
    5,194.66/7,792.23 = 1,299.10/x
  3. Step 3: Cross multiply
    5,194.66x = 7,792.23 × 1,299.10
  4. Step 4: Simplify right side
    5,194.66x = 10,122,885.99
  5. Step 5: Solve for x
    x = 10,122,885.99/5,194.66
  6. Step 6: Final answer
    x = 1,948.71

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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.