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Finding the Fourth Proportional to 6,993.50, 10,464.08 and 4,172.02

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Solution

The fourth proportional to 6,993.50, 10,464.08 and 4,172.02 is: 6,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.50 : 10,464.08 = 4,172.02 : x
  2. Step 2: Convert to fraction form
    6,993.50/10,464.08 = 4,172.02/x
  3. Step 3: Cross multiply
    6,993.50x = 10,464.08 × 4,172.02
  4. Step 4: Simplify right side
    6,993.50x = 43,656,351.04
  5. Step 5: Solve for x
    x = 43,656,351.04/6,993.50
  6. Step 6: Final answer
    x = 6,242.42

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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.