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Finding the Fourth Proportional to 7,234.02, 9,983.02 and 4,249.90

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Solution

The fourth proportional to 7,234.02, 9,983.02 and 4,249.90 is: 5,864.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.02 : 9,983.02 = 4,249.90 : x
  2. Step 2: Convert to fraction form
    7,234.02/9,983.02 = 4,249.90/x
  3. Step 3: Cross multiply
    7,234.02x = 9,983.02 × 4,249.90
  4. Step 4: Simplify right side
    7,234.02x = 42,426,836.70
  5. Step 5: Solve for x
    x = 42,426,836.70/7,234.02
  6. Step 6: Final answer
    x = 5,864.90

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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.