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Finding the Fourth Proportional to 4,951.16, 6,831.78 and 3,182.42

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Solution

The fourth proportional to 4,951.16, 6,831.78 and 3,182.42 is: 4,391.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.16 : 6,831.78 = 3,182.42 : x
  2. Step 2: Convert to fraction form
    4,951.16/6,831.78 = 3,182.42/x
  3. Step 3: Cross multiply
    4,951.16x = 6,831.78 × 3,182.42
  4. Step 4: Simplify right side
    4,951.16x = 21,741,593.31
  5. Step 5: Solve for x
    x = 21,741,593.31/4,951.16
  6. Step 6: Final answer
    x = 4,391.21

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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.