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Finding the Fourth Proportional to 9,096.57, 13,650.12 and 3,831.21

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Solution

The fourth proportional to 9,096.57, 13,650.12 and 3,831.21 is: 5,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.57 : 13,650.12 = 3,831.21 : x
  2. Step 2: Convert to fraction form
    9,096.57/13,650.12 = 3,831.21/x
  3. Step 3: Cross multiply
    9,096.57x = 13,650.12 × 3,831.21
  4. Step 4: Simplify right side
    9,096.57x = 52,296,476.25
  5. Step 5: Solve for x
    x = 52,296,476.25/9,096.57
  6. Step 6: Final answer
    x = 5,749.03

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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.