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Finding the Fourth Proportional to 6,652.86, 9,986.58 and 3,736.86

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Solution

The fourth proportional to 6,652.86, 9,986.58 and 3,736.86 is: 5,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.86 : 9,986.58 = 3,736.86 : x
  2. Step 2: Convert to fraction form
    6,652.86/9,986.58 = 3,736.86/x
  3. Step 3: Cross multiply
    6,652.86x = 9,986.58 × 3,736.86
  4. Step 4: Simplify right side
    6,652.86x = 37,318,451.34
  5. Step 5: Solve for x
    x = 37,318,451.34/6,652.86
  6. Step 6: Final answer
    x = 5,609.38

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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.