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Finding the Fourth Proportional to 6,842.55, 9,444.09 and 3,858.44

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Solution

The fourth proportional to 6,842.55, 9,444.09 and 3,858.44 is: 5,325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.55 : 9,444.09 = 3,858.44 : x
  2. Step 2: Convert to fraction form
    6,842.55/9,444.09 = 3,858.44/x
  3. Step 3: Cross multiply
    6,842.55x = 9,444.09 × 3,858.44
  4. Step 4: Simplify right side
    6,842.55x = 36,439,454.62
  5. Step 5: Solve for x
    x = 36,439,454.62/6,842.55
  6. Step 6: Final answer
    x = 5,325.42

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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.