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Finding the Fourth Proportional to 6,809.37, 9,396.42 and 3,824.63

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Solution

The fourth proportional to 6,809.37, 9,396.42 and 3,824.63 is: 5,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.37 : 9,396.42 = 3,824.63 : x
  2. Step 2: Convert to fraction form
    6,809.37/9,396.42 = 3,824.63/x
  3. Step 3: Cross multiply
    6,809.37x = 9,396.42 × 3,824.63
  4. Step 4: Simplify right side
    6,809.37x = 35,937,782.84
  5. Step 5: Solve for x
    x = 35,937,782.84/6,809.37
  6. Step 6: Final answer
    x = 5,277.70

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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.