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Finding the Fourth Proportional to 6,361.30, 9,533.74 and 2,848.74

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Solution

The fourth proportional to 6,361.30, 9,533.74 and 2,848.74 is: 4,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.30 : 9,533.74 = 2,848.74 : x
  2. Step 2: Convert to fraction form
    6,361.30/9,533.74 = 2,848.74/x
  3. Step 3: Cross multiply
    6,361.30x = 9,533.74 × 2,848.74
  4. Step 4: Simplify right side
    6,361.30x = 27,159,146.49
  5. Step 5: Solve for x
    x = 27,159,146.49/6,361.30
  6. Step 6: Final answer
    x = 4,269.43

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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.