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Finding the Fourth Proportional to 4,971.24, 7,438.23 and 2,997.68

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Solution

The fourth proportional to 4,971.24, 7,438.23 and 2,997.68 is: 4,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.24 : 7,438.23 = 2,997.68 : x
  2. Step 2: Convert to fraction form
    4,971.24/7,438.23 = 2,997.68/x
  3. Step 3: Cross multiply
    4,971.24x = 7,438.23 × 2,997.68
  4. Step 4: Simplify right side
    4,971.24x = 22,297,396.12
  5. Step 5: Solve for x
    x = 22,297,396.12/4,971.24
  6. Step 6: Final answer
    x = 4,485.28

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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.