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Finding the Fourth Proportional to 6,824.62, 9,417.31 and 3,840.39

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Solution

The fourth proportional to 6,824.62, 9,417.31 and 3,840.39 is: 5,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.62 : 9,417.31 = 3,840.39 : x
  2. Step 2: Convert to fraction form
    6,824.62/9,417.31 = 3,840.39/x
  3. Step 3: Cross multiply
    6,824.62x = 9,417.31 × 3,840.39
  4. Step 4: Simplify right side
    6,824.62x = 36,166,143.15
  5. Step 5: Solve for x
    x = 36,166,143.15/6,824.62
  6. Step 6: Final answer
    x = 5,299.36

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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.