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Finding the Fourth Proportional to 6,884.96, 10,327.42 and 1,954.64

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Solution

The fourth proportional to 6,884.96, 10,327.42 and 1,954.64 is: 2,931.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.96 : 10,327.42 = 1,954.64 : x
  2. Step 2: Convert to fraction form
    6,884.96/10,327.42 = 1,954.64/x
  3. Step 3: Cross multiply
    6,884.96x = 10,327.42 × 1,954.64
  4. Step 4: Simplify right side
    6,884.96x = 20,186,416.49
  5. Step 5: Solve for x
    x = 20,186,416.49/6,884.96
  6. Step 6: Final answer
    x = 2,931.96

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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.