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Finding the Fourth Proportional to 9,650.44, 14,475.81 and 3,807

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Solution

The fourth proportional to 9,650.44, 14,475.81 and 3,807 is: 5,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.44 : 14,475.81 = 3,807 : x
  2. Step 2: Convert to fraction form
    9,650.44/14,475.81 = 3,807/x
  3. Step 3: Cross multiply
    9,650.44x = 14,475.81 × 3,807
  4. Step 4: Simplify right side
    9,650.44x = 55,109,422.95
  5. Step 5: Solve for x
    x = 55,109,422.95/9,650.44
  6. Step 6: Final answer
    x = 5,710.56

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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.