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Finding the Fourth Proportional to 4,694.14, 6,477.84 and 2,831.14

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Solution

The fourth proportional to 4,694.14, 6,477.84 and 2,831.14 is: 3,906.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.14 : 6,477.84 = 2,831.14 : x
  2. Step 2: Convert to fraction form
    4,694.14/6,477.84 = 2,831.14/x
  3. Step 3: Cross multiply
    4,694.14x = 6,477.84 × 2,831.14
  4. Step 4: Simplify right side
    4,694.14x = 18,339,671.94
  5. Step 5: Solve for x
    x = 18,339,671.94/4,694.14
  6. Step 6: Final answer
    x = 3,906.93

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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.