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Finding the Fourth Proportional to 9,773.94, 14,662.14 and 3,198.36

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Solution

The fourth proportional to 9,773.94, 14,662.14 and 3,198.36 is: 4,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.94 : 14,662.14 = 3,198.36 : x
  2. Step 2: Convert to fraction form
    9,773.94/14,662.14 = 3,198.36/x
  3. Step 3: Cross multiply
    9,773.94x = 14,662.14 × 3,198.36
  4. Step 4: Simplify right side
    9,773.94x = 46,894,802.09
  5. Step 5: Solve for x
    x = 46,894,802.09/9,773.94
  6. Step 6: Final answer
    x = 4,797.94

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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.