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Finding the Fourth Proportional to 7,197.96, 10,793.10 and 2,266.32

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Solution

The fourth proportional to 7,197.96, 10,793.10 and 2,266.32 is: 3,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.96 : 10,793.10 = 2,266.32 : x
  2. Step 2: Convert to fraction form
    7,197.96/10,793.10 = 2,266.32/x
  3. Step 3: Cross multiply
    7,197.96x = 10,793.10 × 2,266.32
  4. Step 4: Simplify right side
    7,197.96x = 24,460,618.39
  5. Step 5: Solve for x
    x = 24,460,618.39/7,197.96
  6. Step 6: Final answer
    x = 3,398.27

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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.