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Finding the Fourth Proportional to 6,154.82, 8,498.49 and 4,956

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Solution

The fourth proportional to 6,154.82, 8,498.49 and 4,956 is: 6,843.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.82 : 8,498.49 = 4,956 : x
  2. Step 2: Convert to fraction form
    6,154.82/8,498.49 = 4,956/x
  3. Step 3: Cross multiply
    6,154.82x = 8,498.49 × 4,956
  4. Step 4: Simplify right side
    6,154.82x = 42,118,516.44
  5. Step 5: Solve for x
    x = 42,118,516.44/6,154.82
  6. Step 6: Final answer
    x = 6,843.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.