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Finding the Fourth Proportional to 6,106.86, 8,435.34 and 4,433.81

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Solution

The fourth proportional to 6,106.86, 8,435.34 and 4,433.81 is: 6,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.86 : 8,435.34 = 4,433.81 : x
  2. Step 2: Convert to fraction form
    6,106.86/8,435.34 = 4,433.81/x
  3. Step 3: Cross multiply
    6,106.86x = 8,435.34 × 4,433.81
  4. Step 4: Simplify right side
    6,106.86x = 37,400,652.67
  5. Step 5: Solve for x
    x = 37,400,652.67/6,106.86
  6. Step 6: Final answer
    x = 6,124.37

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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.