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Finding the Fourth Proportional to 6,824.78, 9,418.23 and 3,840.66

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Solution

The fourth proportional to 6,824.78, 9,418.23 and 3,840.66 is: 5,300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.78 : 9,418.23 = 3,840.66 : x
  2. Step 2: Convert to fraction form
    6,824.78/9,418.23 = 3,840.66/x
  3. Step 3: Cross multiply
    6,824.78x = 9,418.23 × 3,840.66
  4. Step 4: Simplify right side
    6,824.78x = 36,172,219.23
  5. Step 5: Solve for x
    x = 36,172,219.23/6,824.78
  6. Step 6: Final answer
    x = 5,300.13

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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.