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Finding the Fourth Proportional to 6,361.66, 9,533.85 and 4,049.02

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Solution

The fourth proportional to 6,361.66, 9,533.85 and 4,049.02 is: 6,068.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.66 : 9,533.85 = 4,049.02 : x
  2. Step 2: Convert to fraction form
    6,361.66/9,533.85 = 4,049.02/x
  3. Step 3: Cross multiply
    6,361.66x = 9,533.85 × 4,049.02
  4. Step 4: Simplify right side
    6,361.66x = 38,602,749.33
  5. Step 5: Solve for x
    x = 38,602,749.33/6,361.66
  6. Step 6: Final answer
    x = 6,068.03

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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.