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Finding the Fourth Proportional to 7,234.32, 9,983.92 and 4,047.92

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Solution

The fourth proportional to 7,234.32, 9,983.92 and 4,047.92 is: 5,586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.32 : 9,983.92 = 4,047.92 : x
  2. Step 2: Convert to fraction form
    7,234.32/9,983.92 = 4,047.92/x
  3. Step 3: Cross multiply
    7,234.32x = 9,983.92 × 4,047.92
  4. Step 4: Simplify right side
    7,234.32x = 40,414,109.45
  5. Step 5: Solve for x
    x = 40,414,109.45/7,234.32
  6. Step 6: Final answer
    x = 5,586.44

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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.