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Finding the Fourth Proportional to 6,357.97, 9,538.02 and 1,974.55

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Solution

The fourth proportional to 6,357.97, 9,538.02 and 1,974.55 is: 2,962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.97 : 9,538.02 = 1,974.55 : x
  2. Step 2: Convert to fraction form
    6,357.97/9,538.02 = 1,974.55/x
  3. Step 3: Cross multiply
    6,357.97x = 9,538.02 × 1,974.55
  4. Step 4: Simplify right side
    6,357.97x = 18,833,297.39
  5. Step 5: Solve for x
    x = 18,833,297.39/6,357.97
  6. Step 6: Final answer
    x = 2,962.16

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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.