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Finding the Fourth Proportional to 6,348.86, 9,517.64 and 3,015.05

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Solution

The fourth proportional to 6,348.86, 9,517.64 and 3,015.05 is: 4,519.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.86 : 9,517.64 = 3,015.05 : x
  2. Step 2: Convert to fraction form
    6,348.86/9,517.64 = 3,015.05/x
  3. Step 3: Cross multiply
    6,348.86x = 9,517.64 × 3,015.05
  4. Step 4: Simplify right side
    6,348.86x = 28,696,169.20
  5. Step 5: Solve for x
    x = 28,696,169.20/6,348.86
  6. Step 6: Final answer
    x = 4,519.90

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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.