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Finding the Fourth Proportional to 11,624.88, 17,431.44 and 3,831.12

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Solution

The fourth proportional to 11,624.88, 17,431.44 and 3,831.12 is: 5,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.88 : 17,431.44 = 3,831.12 : x
  2. Step 2: Convert to fraction form
    11,624.88/17,431.44 = 3,831.12/x
  3. Step 3: Cross multiply
    11,624.88x = 17,431.44 × 3,831.12
  4. Step 4: Simplify right side
    11,624.88x = 66,781,938.41
  5. Step 5: Solve for x
    x = 66,781,938.41/11,624.88
  6. Step 6: Final answer
    x = 5,744.74

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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.