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Finding the Fourth Proportional to 6,399.50, 9,598.14 and 1,719.83

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Solution

The fourth proportional to 6,399.50, 9,598.14 and 1,719.83 is: 2,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.50 : 9,598.14 = 1,719.83 : x
  2. Step 2: Convert to fraction form
    6,399.50/9,598.14 = 1,719.83/x
  3. Step 3: Cross multiply
    6,399.50x = 9,598.14 × 1,719.83
  4. Step 4: Simplify right side
    6,399.50x = 16,507,112.53
  5. Step 5: Solve for x
    x = 16,507,112.53/6,399.50
  6. Step 6: Final answer
    x = 2,579.44

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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.