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Finding the Fourth Proportional to 14,823.28, 22,224.46 and 7,422.44

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Solution

The fourth proportional to 14,823.28, 22,224.46 and 7,422.44 is: 11,128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.28 : 22,224.46 = 7,422.44 : x
  2. Step 2: Convert to fraction form
    14,823.28/22,224.46 = 7,422.44/x
  3. Step 3: Cross multiply
    14,823.28x = 22,224.46 × 7,422.44
  4. Step 4: Simplify right side
    14,823.28x = 164,959,720.88
  5. Step 5: Solve for x
    x = 164,959,720.88/14,823.28
  6. Step 6: Final answer
    x = 11,128.42

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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.