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Finding the Fourth Proportional to 18,460.41, 27,691 and 6,614.95

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Solution

The fourth proportional to 18,460.41, 27,691 and 6,614.95 is: 9,922.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,460.41 : 27,691 = 6,614.95 : x
  2. Step 2: Convert to fraction form
    18,460.41/27,691 = 6,614.95/x
  3. Step 3: Cross multiply
    18,460.41x = 27,691 × 6,614.95
  4. Step 4: Simplify right side
    18,460.41x = 183,174,580.45
  5. Step 5: Solve for x
    x = 183,174,580.45/18,460.41
  6. Step 6: Final answer
    x = 9,922.56

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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.