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Finding the Fourth Proportional to 6,358.25, 9,536.57 and 1,678.65

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Solution

The fourth proportional to 6,358.25, 9,536.57 and 1,678.65 is: 2,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.25 : 9,536.57 = 1,678.65 : x
  2. Step 2: Convert to fraction form
    6,358.25/9,536.57 = 1,678.65/x
  3. Step 3: Cross multiply
    6,358.25x = 9,536.57 × 1,678.65
  4. Step 4: Simplify right side
    6,358.25x = 16,008,525.37
  5. Step 5: Solve for x
    x = 16,008,525.37/6,358.25
  6. Step 6: Final answer
    x = 2,517.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.