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Finding the Fourth Proportional to 6,794.70, 10,193.13 and 3,098.22

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Solution

The fourth proportional to 6,794.70, 10,193.13 and 3,098.22 is: 4,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.70 : 10,193.13 = 3,098.22 : x
  2. Step 2: Convert to fraction form
    6,794.70/10,193.13 = 3,098.22/x
  3. Step 3: Cross multiply
    6,794.70x = 10,193.13 × 3,098.22
  4. Step 4: Simplify right side
    6,794.70x = 31,580,559.23
  5. Step 5: Solve for x
    x = 31,580,559.23/6,794.70
  6. Step 6: Final answer
    x = 4,647.82

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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.