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Finding the Fourth Proportional to 6,874.02, 9,493.89 and 4,645.11

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Solution

The fourth proportional to 6,874.02, 9,493.89 and 4,645.11 is: 6,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.02 : 9,493.89 = 4,645.11 : x
  2. Step 2: Convert to fraction form
    6,874.02/9,493.89 = 4,645.11/x
  3. Step 3: Cross multiply
    6,874.02x = 9,493.89 × 4,645.11
  4. Step 4: Simplify right side
    6,874.02x = 44,100,163.38
  5. Step 5: Solve for x
    x = 44,100,163.38/6,874.02
  6. Step 6: Final answer
    x = 6,415.48

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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.