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Finding the Fourth Proportional to 6,277.28, 9,415.97 and 1,597.29

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Solution

The fourth proportional to 6,277.28, 9,415.97 and 1,597.29 is: 2,395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.28 : 9,415.97 = 1,597.29 : x
  2. Step 2: Convert to fraction form
    6,277.28/9,415.97 = 1,597.29/x
  3. Step 3: Cross multiply
    6,277.28x = 9,415.97 × 1,597.29
  4. Step 4: Simplify right side
    6,277.28x = 15,040,026.73
  5. Step 5: Solve for x
    x = 15,040,026.73/6,277.28
  6. Step 6: Final answer
    x = 2,395.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.