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Finding the Fourth Proportional to 22,571.10, 33,862.05 and 9,416.16

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Solution

The fourth proportional to 22,571.10, 33,862.05 and 9,416.16 is: 14,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,571.10 : 33,862.05 = 9,416.16 : x
  2. Step 2: Convert to fraction form
    22,571.10/33,862.05 = 9,416.16/x
  3. Step 3: Cross multiply
    22,571.10x = 33,862.05 × 9,416.16
  4. Step 4: Simplify right side
    22,571.10x = 318,850,480.73
  5. Step 5: Solve for x
    x = 318,850,480.73/22,571.10
  6. Step 6: Final answer
    x = 14,126.49

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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.