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Finding the Fourth Proportional to 22,539.32, 33,809.75 and 7,748.11

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Solution

The fourth proportional to 22,539.32, 33,809.75 and 7,748.11 is: 11,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,539.32 : 33,809.75 = 7,748.11 : x
  2. Step 2: Convert to fraction form
    22,539.32/33,809.75 = 7,748.11/x
  3. Step 3: Cross multiply
    22,539.32x = 33,809.75 × 7,748.11
  4. Step 4: Simplify right side
    22,539.32x = 261,961,662.07
  5. Step 5: Solve for x
    x = 261,961,662.07/22,539.32
  6. Step 6: Final answer
    x = 11,622.43

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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.