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Finding the Fourth Proportional to 22,097.90, 33,134.49 and 7,302.84

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Solution

The fourth proportional to 22,097.90, 33,134.49 and 7,302.84 is: 10,950.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.90 : 33,134.49 = 7,302.84 : x
  2. Step 2: Convert to fraction form
    22,097.90/33,134.49 = 7,302.84/x
  3. Step 3: Cross multiply
    22,097.90x = 33,134.49 × 7,302.84
  4. Step 4: Simplify right side
    22,097.90x = 241,975,878.95
  5. Step 5: Solve for x
    x = 241,975,878.95/22,097.90
  6. Step 6: Final answer
    x = 10,950.18

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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.