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Finding the Fourth Proportional to 6,555.86, 9,833.89 and 3,652.62

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Solution

The fourth proportional to 6,555.86, 9,833.89 and 3,652.62 is: 5,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.86 : 9,833.89 = 3,652.62 : x
  2. Step 2: Convert to fraction form
    6,555.86/9,833.89 = 3,652.62/x
  3. Step 3: Cross multiply
    6,555.86x = 9,833.89 × 3,652.62
  4. Step 4: Simplify right side
    6,555.86x = 35,919,424.13
  5. Step 5: Solve for x
    x = 35,919,424.13/6,555.86
  6. Step 6: Final answer
    x = 5,478.98

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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.