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Finding the Fourth Proportional to 6,662.25, 9,193.91 and 4,178.25

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Solution

The fourth proportional to 6,662.25, 9,193.91 and 4,178.25 is: 5,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.25 : 9,193.91 = 4,178.25 : x
  2. Step 2: Convert to fraction form
    6,662.25/9,193.91 = 4,178.25/x
  3. Step 3: Cross multiply
    6,662.25x = 9,193.91 × 4,178.25
  4. Step 4: Simplify right side
    6,662.25x = 38,414,433.57
  5. Step 5: Solve for x
    x = 38,414,433.57/6,662.25
  6. Step 6: Final answer
    x = 5,765.99

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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.