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Finding the Fourth Proportional to 6,843.22, 9,443.58 and 3,858.90

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Solution

The fourth proportional to 6,843.22, 9,443.58 and 3,858.90 is: 5,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.22 : 9,443.58 = 3,858.90 : x
  2. Step 2: Convert to fraction form
    6,843.22/9,443.58 = 3,858.90/x
  3. Step 3: Cross multiply
    6,843.22x = 9,443.58 × 3,858.90
  4. Step 4: Simplify right side
    6,843.22x = 36,441,830.86
  5. Step 5: Solve for x
    x = 36,441,830.86/6,843.22
  6. Step 6: Final answer
    x = 5,325.25

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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.