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Finding the Fourth Proportional to 9,997.70, 14,993.96 and 2,976.06

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Solution

The fourth proportional to 9,997.70, 14,993.96 and 2,976.06 is: 4,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.70 : 14,993.96 = 2,976.06 : x
  2. Step 2: Convert to fraction form
    9,997.70/14,993.96 = 2,976.06/x
  3. Step 3: Cross multiply
    9,997.70x = 14,993.96 × 2,976.06
  4. Step 4: Simplify right side
    9,997.70x = 44,622,924.60
  5. Step 5: Solve for x
    x = 44,622,924.60/9,997.70
  6. Step 6: Final answer
    x = 4,463.32

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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.