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Finding the Fourth Proportional to 6,662.44, 9,197.94 and 5,924.20

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Solution

The fourth proportional to 6,662.44, 9,197.94 and 5,924.20 is: 8,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.44 : 9,197.94 = 5,924.20 : x
  2. Step 2: Convert to fraction form
    6,662.44/9,197.94 = 5,924.20/x
  3. Step 3: Cross multiply
    6,662.44x = 9,197.94 × 5,924.20
  4. Step 4: Simplify right side
    6,662.44x = 54,490,436.15
  5. Step 5: Solve for x
    x = 54,490,436.15/6,662.44
  6. Step 6: Final answer
    x = 8,178.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.