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Finding the Fourth Proportional to 6,227.44, 9,334.66 and 2,716.50

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Solution

The fourth proportional to 6,227.44, 9,334.66 and 2,716.50 is: 4,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.44 : 9,334.66 = 2,716.50 : x
  2. Step 2: Convert to fraction form
    6,227.44/9,334.66 = 2,716.50/x
  3. Step 3: Cross multiply
    6,227.44x = 9,334.66 × 2,716.50
  4. Step 4: Simplify right side
    6,227.44x = 25,357,587.34
  5. Step 5: Solve for x
    x = 25,357,587.34/6,227.44
  6. Step 6: Final answer
    x = 4,071.92

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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.