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Finding the Fourth Proportional to 6,474.87, 9,699.53 and 6,019.25

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Solution

The fourth proportional to 6,474.87, 9,699.53 and 6,019.25 is: 9,016.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.87 : 9,699.53 = 6,019.25 : x
  2. Step 2: Convert to fraction form
    6,474.87/9,699.53 = 6,019.25/x
  3. Step 3: Cross multiply
    6,474.87x = 9,699.53 × 6,019.25
  4. Step 4: Simplify right side
    6,474.87x = 58,383,817.36
  5. Step 5: Solve for x
    x = 58,383,817.36/6,474.87
  6. Step 6: Final answer
    x = 9,016.99

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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.