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Finding the Fourth Proportional to 22,448.52, 33,678.54 and 8,408.75

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Solution

The fourth proportional to 22,448.52, 33,678.54 and 8,408.75 is: 12,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.52 : 33,678.54 = 8,408.75 : x
  2. Step 2: Convert to fraction form
    22,448.52/33,678.54 = 8,408.75/x
  3. Step 3: Cross multiply
    22,448.52x = 33,678.54 × 8,408.75
  4. Step 4: Simplify right side
    22,448.52x = 283,194,254.83
  5. Step 5: Solve for x
    x = 283,194,254.83/22,448.52
  6. Step 6: Final answer
    x = 12,615.28

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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.