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Finding the Fourth Proportional to 5,954.64, 8,922.24 and 5,727.12

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Solution

The fourth proportional to 5,954.64, 8,922.24 and 5,727.12 is: 8,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.64 : 8,922.24 = 5,727.12 : x
  2. Step 2: Convert to fraction form
    5,954.64/8,922.24 = 5,727.12/x
  3. Step 3: Cross multiply
    5,954.64x = 8,922.24 × 5,727.12
  4. Step 4: Simplify right side
    5,954.64x = 51,098,739.15
  5. Step 5: Solve for x
    x = 51,098,739.15/5,954.64
  6. Step 6: Final answer
    x = 8,581.33

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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.