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Finding the Fourth Proportional to 7,288.60, 10,923.30 and 5,234.20

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Solution

The fourth proportional to 7,288.60, 10,923.30 and 5,234.20 is: 7,844.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.60 : 10,923.30 = 5,234.20 : x
  2. Step 2: Convert to fraction form
    7,288.60/10,923.30 = 5,234.20/x
  3. Step 3: Cross multiply
    7,288.60x = 10,923.30 × 5,234.20
  4. Step 4: Simplify right side
    7,288.60x = 57,174,736.86
  5. Step 5: Solve for x
    x = 57,174,736.86/7,288.60
  6. Step 6: Final answer
    x = 7,844.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.