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Finding the Fourth Proportional to 14,432.44, 21,649.02 and 5,072.44

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Solution

The fourth proportional to 14,432.44, 21,649.02 and 5,072.44 is: 7,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.44 : 21,649.02 = 5,072.44 : x
  2. Step 2: Convert to fraction form
    14,432.44/21,649.02 = 5,072.44/x
  3. Step 3: Cross multiply
    14,432.44x = 21,649.02 × 5,072.44
  4. Step 4: Simplify right side
    14,432.44x = 109,813,355.01
  5. Step 5: Solve for x
    x = 109,813,355.01/14,432.44
  6. Step 6: Final answer
    x = 7,608.79

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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.