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Finding the Fourth Proportional to 6,950.44, 10,421.06 and 3,831.96

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Solution

The fourth proportional to 6,950.44, 10,421.06 and 3,831.96 is: 5,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.44 : 10,421.06 = 3,831.96 : x
  2. Step 2: Convert to fraction form
    6,950.44/10,421.06 = 3,831.96/x
  3. Step 3: Cross multiply
    6,950.44x = 10,421.06 × 3,831.96
  4. Step 4: Simplify right side
    6,950.44x = 39,933,085.08
  5. Step 5: Solve for x
    x = 39,933,085.08/6,950.44
  6. Step 6: Final answer
    x = 5,745.40

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Why These Related Problems?

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