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Finding the Fourth Proportional to 6,884.42, 10,327.13 and 1,954.41

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Solution

The fourth proportional to 6,884.42, 10,327.13 and 1,954.41 is: 2,931.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.42 : 10,327.13 = 1,954.41 : x
  2. Step 2: Convert to fraction form
    6,884.42/10,327.13 = 1,954.41/x
  3. Step 3: Cross multiply
    6,884.42x = 10,327.13 × 1,954.41
  4. Step 4: Simplify right side
    6,884.42x = 20,183,436.37
  5. Step 5: Solve for x
    x = 20,183,436.37/6,884.42
  6. Step 6: Final answer
    x = 2,931.76

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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.