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Finding the Fourth Proportional to 6,180.94, 9,216.28 and 5,494.06

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Solution

The fourth proportional to 6,180.94, 9,216.28 and 5,494.06 is: 8,192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.94 : 9,216.28 = 5,494.06 : x
  2. Step 2: Convert to fraction form
    6,180.94/9,216.28 = 5,494.06/x
  3. Step 3: Cross multiply
    6,180.94x = 9,216.28 × 5,494.06
  4. Step 4: Simplify right side
    6,180.94x = 50,634,795.30
  5. Step 5: Solve for x
    x = 50,634,795.30/6,180.94
  6. Step 6: Final answer
    x = 8,192.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.