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Finding the Fourth Proportional to 6,414.44, 9,546.94 and 6,352.88

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Solution

The fourth proportional to 6,414.44, 9,546.94 and 6,352.88 is: 9,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.44 : 9,546.94 = 6,352.88 : x
  2. Step 2: Convert to fraction form
    6,414.44/9,546.94 = 6,352.88/x
  3. Step 3: Cross multiply
    6,414.44x = 9,546.94 × 6,352.88
  4. Step 4: Simplify right side
    6,414.44x = 60,650,564.19
  5. Step 5: Solve for x
    x = 60,650,564.19/6,414.44
  6. Step 6: Final answer
    x = 9,455.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.