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Finding the Fourth Proportional to 7,350, 10,142.65 and 4,163.22

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Solution

The fourth proportional to 7,350, 10,142.65 and 4,163.22 is: 5,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350 : 10,142.65 = 4,163.22 : x
  2. Step 2: Convert to fraction form
    7,350/10,142.65 = 4,163.22/x
  3. Step 3: Cross multiply
    7,350x = 10,142.65 × 4,163.22
  4. Step 4: Simplify right side
    7,350x = 42,226,083.33
  5. Step 5: Solve for x
    x = 42,226,083.33/7,350
  6. Step 6: Final answer
    x = 5,745.05

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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.