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Finding the Fourth Proportional to 6,844.42, 10,266.54 and 1,650.25

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Solution

The fourth proportional to 6,844.42, 10,266.54 and 1,650.25 is: 2,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.42 : 10,266.54 = 1,650.25 : x
  2. Step 2: Convert to fraction form
    6,844.42/10,266.54 = 1,650.25/x
  3. Step 3: Cross multiply
    6,844.42x = 10,266.54 × 1,650.25
  4. Step 4: Simplify right side
    6,844.42x = 16,942,357.64
  5. Step 5: Solve for x
    x = 16,942,357.64/6,844.42
  6. Step 6: Final answer
    x = 2,475.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.