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Finding the Fourth Proportional to 6,686.82, 9,245.42 and 5,856.44

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Solution

The fourth proportional to 6,686.82, 9,245.42 and 5,856.44 is: 8,097.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.82 : 9,245.42 = 5,856.44 : x
  2. Step 2: Convert to fraction form
    6,686.82/9,245.42 = 5,856.44/x
  3. Step 3: Cross multiply
    6,686.82x = 9,245.42 × 5,856.44
  4. Step 4: Simplify right side
    6,686.82x = 54,145,172.00
  5. Step 5: Solve for x
    x = 54,145,172.00/6,686.82
  6. Step 6: Final answer
    x = 8,097.30

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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.