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Finding the Fourth Proportional to 5,195.95, 7,793.97 and 1,498.19

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Solution

The fourth proportional to 5,195.95, 7,793.97 and 1,498.19 is: 2,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.95 : 7,793.97 = 1,498.19 : x
  2. Step 2: Convert to fraction form
    5,195.95/7,793.97 = 1,498.19/x
  3. Step 3: Cross multiply
    5,195.95x = 7,793.97 × 1,498.19
  4. Step 4: Simplify right side
    5,195.95x = 11,676,828.43
  5. Step 5: Solve for x
    x = 11,676,828.43/5,195.95
  6. Step 6: Final answer
    x = 2,247.29

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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.