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Finding the Fourth Proportional to 22,617.99, 33,930.06 and 7,822.94

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Solution

The fourth proportional to 22,617.99, 33,930.06 and 7,822.94 is: 11,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.99 : 33,930.06 = 7,822.94 : x
  2. Step 2: Convert to fraction form
    22,617.99/33,930.06 = 7,822.94/x
  3. Step 3: Cross multiply
    22,617.99x = 33,930.06 × 7,822.94
  4. Step 4: Simplify right side
    22,617.99x = 265,432,653.93
  5. Step 5: Solve for x
    x = 265,432,653.93/22,617.99
  6. Step 6: Final answer
    x = 11,735.47

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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.