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Finding the Fourth Proportional to 6,734.91, 10,101.96 and 3,035.64

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Solution

The fourth proportional to 6,734.91, 10,101.96 and 3,035.64 is: 4,553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.91 : 10,101.96 = 3,035.64 : x
  2. Step 2: Convert to fraction form
    6,734.91/10,101.96 = 3,035.64/x
  3. Step 3: Cross multiply
    6,734.91x = 10,101.96 × 3,035.64
  4. Step 4: Simplify right side
    6,734.91x = 30,665,913.85
  5. Step 5: Solve for x
    x = 30,665,913.85/6,734.91
  6. Step 6: Final answer
    x = 4,553.28

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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.