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Finding the Fourth Proportional to 3,395, 5,093.49 and 1,447.40

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Solution

The fourth proportional to 3,395, 5,093.49 and 1,447.40 is: 2,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395 : 5,093.49 = 1,447.40 : x
  2. Step 2: Convert to fraction form
    3,395/5,093.49 = 1,447.40/x
  3. Step 3: Cross multiply
    3,395x = 5,093.49 × 1,447.40
  4. Step 4: Simplify right side
    3,395x = 7,372,317.43
  5. Step 5: Solve for x
    x = 7,372,317.43/3,395
  6. Step 6: Final answer
    x = 2,171.52

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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.