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Finding the Fourth Proportional to 6,370.82, 9,556.65 and 1,690.76

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Solution

The fourth proportional to 6,370.82, 9,556.65 and 1,690.76 is: 2,536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.82 : 9,556.65 = 1,690.76 : x
  2. Step 2: Convert to fraction form
    6,370.82/9,556.65 = 1,690.76/x
  3. Step 3: Cross multiply
    6,370.82x = 9,556.65 × 1,690.76
  4. Step 4: Simplify right side
    6,370.82x = 16,157,953.77
  5. Step 5: Solve for x
    x = 16,157,953.77/6,370.82
  6. Step 6: Final answer
    x = 2,536.25

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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.