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Finding the Fourth Proportional to 6,559.02, 9,839.16 and 1,879.02

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Solution

The fourth proportional to 6,559.02, 9,839.16 and 1,879.02 is: 2,818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.02 : 9,839.16 = 1,879.02 : x
  2. Step 2: Convert to fraction form
    6,559.02/9,839.16 = 1,879.02/x
  3. Step 3: Cross multiply
    6,559.02x = 9,839.16 × 1,879.02
  4. Step 4: Simplify right side
    6,559.02x = 18,487,978.42
  5. Step 5: Solve for x
    x = 18,487,978.42/6,559.02
  6. Step 6: Final answer
    x = 2,818.71

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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.