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Finding the Fourth Proportional to 6,851.44, 9,454.53 and 3,867.40

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Solution

The fourth proportional to 6,851.44, 9,454.53 and 3,867.40 is: 5,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.44 : 9,454.53 = 3,867.40 : x
  2. Step 2: Convert to fraction form
    6,851.44/9,454.53 = 3,867.40/x
  3. Step 3: Cross multiply
    6,851.44x = 9,454.53 × 3,867.40
  4. Step 4: Simplify right side
    6,851.44x = 36,564,449.32
  5. Step 5: Solve for x
    x = 36,564,449.32/6,851.44
  6. Step 6: Final answer
    x = 5,336.75

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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.