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Finding the Fourth Proportional to 7,234.38, 9,983.16 and 4,090.50

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Solution

The fourth proportional to 7,234.38, 9,983.16 and 4,090.50 is: 5,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.38 : 9,983.16 = 4,090.50 : x
  2. Step 2: Convert to fraction form
    7,234.38/9,983.16 = 4,090.50/x
  3. Step 3: Cross multiply
    7,234.38x = 9,983.16 × 4,090.50
  4. Step 4: Simplify right side
    7,234.38x = 40,836,115.98
  5. Step 5: Solve for x
    x = 40,836,115.98/7,234.38
  6. Step 6: Final answer
    x = 5,644.73

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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.