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Finding the Fourth Proportional to 22,329.84, 33,494.42 and 7,549.14

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Solution

The fourth proportional to 22,329.84, 33,494.42 and 7,549.14 is: 11,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,329.84 : 33,494.42 = 7,549.14 : x
  2. Step 2: Convert to fraction form
    22,329.84/33,494.42 = 7,549.14/x
  3. Step 3: Cross multiply
    22,329.84x = 33,494.42 × 7,549.14
  4. Step 4: Simplify right side
    22,329.84x = 252,854,028.05
  5. Step 5: Solve for x
    x = 252,854,028.05/22,329.84
  6. Step 6: Final answer
    x = 11,323.59

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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.