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Finding the Fourth Proportional to 22,513, 33,771.90 and 6,097

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Solution

The fourth proportional to 22,513, 33,771.90 and 6,097 is: 9,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513 : 33,771.90 = 6,097 : x
  2. Step 2: Convert to fraction form
    22,513/33,771.90 = 6,097/x
  3. Step 3: Cross multiply
    22,513x = 33,771.90 × 6,097
  4. Step 4: Simplify right side
    22,513x = 205,907,274.30
  5. Step 5: Solve for x
    x = 205,907,274.30/22,513
  6. Step 6: Final answer
    x = 9,146.15

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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.