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Finding the Fourth Proportional to 7,734.90, 10,674.10 and 4,198.11

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Solution

The fourth proportional to 7,734.90, 10,674.10 and 4,198.11 is: 5,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.90 : 10,674.10 = 4,198.11 : x
  2. Step 2: Convert to fraction form
    7,734.90/10,674.10 = 4,198.11/x
  3. Step 3: Cross multiply
    7,734.90x = 10,674.10 × 4,198.11
  4. Step 4: Simplify right side
    7,734.90x = 44,811,024.96
  5. Step 5: Solve for x
    x = 44,811,024.96/7,734.90
  6. Step 6: Final answer
    x = 5,793.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.