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Finding the Fourth Proportional to 6,722.24, 9,277.24 and 3,738.64

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Solution

The fourth proportional to 6,722.24, 9,277.24 and 3,738.64 is: 5,159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.24 : 9,277.24 = 3,738.64 : x
  2. Step 2: Convert to fraction form
    6,722.24/9,277.24 = 3,738.64/x
  3. Step 3: Cross multiply
    6,722.24x = 9,277.24 × 3,738.64
  4. Step 4: Simplify right side
    6,722.24x = 34,684,260.55
  5. Step 5: Solve for x
    x = 34,684,260.55/6,722.24
  6. Step 6: Final answer
    x = 5,159.63

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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.