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Finding the Fourth Proportional to 6,466.50, 9,699.75 and 1,849.86

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Solution

The fourth proportional to 6,466.50, 9,699.75 and 1,849.86 is: 2,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.50 : 9,699.75 = 1,849.86 : x
  2. Step 2: Convert to fraction form
    6,466.50/9,699.75 = 1,849.86/x
  3. Step 3: Cross multiply
    6,466.50x = 9,699.75 × 1,849.86
  4. Step 4: Simplify right side
    6,466.50x = 17,943,179.54
  5. Step 5: Solve for x
    x = 17,943,179.54/6,466.50
  6. Step 6: Final answer
    x = 2,774.79

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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.