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Finding the Fourth Proportional to 6,553.44, 9,831.60 and 4,816.80

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Solution

The fourth proportional to 6,553.44, 9,831.60 and 4,816.80 is: 7,226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.44 : 9,831.60 = 4,816.80 : x
  2. Step 2: Convert to fraction form
    6,553.44/9,831.60 = 4,816.80/x
  3. Step 3: Cross multiply
    6,553.44x = 9,831.60 × 4,816.80
  4. Step 4: Simplify right side
    6,553.44x = 47,356,850.88
  5. Step 5: Solve for x
    x = 47,356,850.88/6,553.44
  6. Step 6: Final answer
    x = 7,226.26

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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.