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Finding the Fourth Proportional to 6,148.26, 9,222.36 and 1,765.74

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Solution

The fourth proportional to 6,148.26, 9,222.36 and 1,765.74 is: 2,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.26 : 9,222.36 = 1,765.74 : x
  2. Step 2: Convert to fraction form
    6,148.26/9,222.36 = 1,765.74/x
  3. Step 3: Cross multiply
    6,148.26x = 9,222.36 × 1,765.74
  4. Step 4: Simplify right side
    6,148.26x = 16,284,289.95
  5. Step 5: Solve for x
    x = 16,284,289.95/6,148.26
  6. Step 6: Final answer
    x = 2,648.60

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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.