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Finding the Fourth Proportional to 22,431.48, 33,647.22 and 6,848.28

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Solution

The fourth proportional to 22,431.48, 33,647.22 and 6,848.28 is: 10,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.48 : 33,647.22 = 6,848.28 : x
  2. Step 2: Convert to fraction form
    22,431.48/33,647.22 = 6,848.28/x
  3. Step 3: Cross multiply
    22,431.48x = 33,647.22 × 6,848.28
  4. Step 4: Simplify right side
    22,431.48x = 230,425,583.78
  5. Step 5: Solve for x
    x = 230,425,583.78/22,431.48
  6. Step 6: Final answer
    x = 10,272.42

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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.