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Finding the Fourth Proportional to 6,831.26, 10,226.94 and 5,194.22

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Solution

The fourth proportional to 6,831.26, 10,226.94 and 5,194.22 is: 7,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.26 : 10,226.94 = 5,194.22 : x
  2. Step 2: Convert to fraction form
    6,831.26/10,226.94 = 5,194.22/x
  3. Step 3: Cross multiply
    6,831.26x = 10,226.94 × 5,194.22
  4. Step 4: Simplify right side
    6,831.26x = 53,120,976.29
  5. Step 5: Solve for x
    x = 53,120,976.29/6,831.26
  6. Step 6: Final answer
    x = 7,776.16

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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.