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Finding the Fourth Proportional to 22,647.40, 33,949.22 and 7,845.20

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Solution

The fourth proportional to 22,647.40, 33,949.22 and 7,845.20 is: 11,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.40 : 33,949.22 = 7,845.20 : x
  2. Step 2: Convert to fraction form
    22,647.40/33,949.22 = 7,845.20/x
  3. Step 3: Cross multiply
    22,647.40x = 33,949.22 × 7,845.20
  4. Step 4: Simplify right side
    22,647.40x = 266,338,420.74
  5. Step 5: Solve for x
    x = 266,338,420.74/22,647.40
  6. Step 6: Final answer
    x = 11,760.22

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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.