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Finding the Fourth Proportional to 10,774.80, 16,162.20 and 9,997.20

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Solution

The fourth proportional to 10,774.80, 16,162.20 and 9,997.20 is: 14,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.80 : 16,162.20 = 9,997.20 : x
  2. Step 2: Convert to fraction form
    10,774.80/16,162.20 = 9,997.20/x
  3. Step 3: Cross multiply
    10,774.80x = 16,162.20 × 9,997.20
  4. Step 4: Simplify right side
    10,774.80x = 161,576,745.84
  5. Step 5: Solve for x
    x = 161,576,745.84/10,774.80
  6. Step 6: Final answer
    x = 14,995.80

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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.