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Finding the Fourth Proportional to 6,824.79, 9,418.16 and 3,840.57

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Solution

The fourth proportional to 6,824.79, 9,418.16 and 3,840.57 is: 5,299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.79 : 9,418.16 = 3,840.57 : x
  2. Step 2: Convert to fraction form
    6,824.79/9,418.16 = 3,840.57/x
  3. Step 3: Cross multiply
    6,824.79x = 9,418.16 × 3,840.57
  4. Step 4: Simplify right side
    6,824.79x = 36,171,112.35
  5. Step 5: Solve for x
    x = 36,171,112.35/6,824.79
  6. Step 6: Final answer
    x = 5,299.96

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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.