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Finding the Fourth Proportional to 6,466.25, 9,699.09 and 1,849.25

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Solution

The fourth proportional to 6,466.25, 9,699.09 and 1,849.25 is: 2,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.25 : 9,699.09 = 1,849.25 : x
  2. Step 2: Convert to fraction form
    6,466.25/9,699.09 = 1,849.25/x
  3. Step 3: Cross multiply
    6,466.25x = 9,699.09 × 1,849.25
  4. Step 4: Simplify right side
    6,466.25x = 17,935,993.69
  5. Step 5: Solve for x
    x = 17,935,993.69/6,466.25
  6. Step 6: Final answer
    x = 2,773.79

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1.5x scale

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.