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Finding the Fourth Proportional to 7,191, 10,786.64 and 1,997.01

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Solution

The fourth proportional to 7,191, 10,786.64 and 1,997.01 is: 2,995.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191 : 10,786.64 = 1,997.01 : x
  2. Step 2: Convert to fraction form
    7,191/10,786.64 = 1,997.01/x
  3. Step 3: Cross multiply
    7,191x = 10,786.64 × 1,997.01
  4. Step 4: Simplify right side
    7,191x = 21,541,017.96
  5. Step 5: Solve for x
    x = 21,541,017.96/7,191
  6. Step 6: Final answer
    x = 2,995.55

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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.