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Finding the Fourth Proportional to 11,847.75, 17,771.63 and 4,831.58

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Solution

The fourth proportional to 11,847.75, 17,771.63 and 4,831.58 is: 7,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.75 : 17,771.63 = 4,831.58 : x
  2. Step 2: Convert to fraction form
    11,847.75/17,771.63 = 4,831.58/x
  3. Step 3: Cross multiply
    11,847.75x = 17,771.63 × 4,831.58
  4. Step 4: Simplify right side
    11,847.75x = 85,864,939.06
  5. Step 5: Solve for x
    x = 85,864,939.06/11,847.75
  6. Step 6: Final answer
    x = 7,247.36

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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.