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Finding the Fourth Proportional to 8,216.36, 12,326.70 and 3,831.56

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Solution

The fourth proportional to 8,216.36, 12,326.70 and 3,831.56 is: 5,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.36 : 12,326.70 = 3,831.56 : x
  2. Step 2: Convert to fraction form
    8,216.36/12,326.70 = 3,831.56/x
  3. Step 3: Cross multiply
    8,216.36x = 12,326.70 × 3,831.56
  4. Step 4: Simplify right side
    8,216.36x = 47,230,490.65
  5. Step 5: Solve for x
    x = 47,230,490.65/8,216.36
  6. Step 6: Final answer
    x = 5,748.35

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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.