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Finding the Fourth Proportional to 6,357.47, 9,537.27 and 1,974.06

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Solution

The fourth proportional to 6,357.47, 9,537.27 and 1,974.06 is: 2,961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.47 : 9,537.27 = 1,974.06 : x
  2. Step 2: Convert to fraction form
    6,357.47/9,537.27 = 1,974.06/x
  3. Step 3: Cross multiply
    6,357.47x = 9,537.27 × 1,974.06
  4. Step 4: Simplify right side
    6,357.47x = 18,827,143.22
  5. Step 5: Solve for x
    x = 18,827,143.22/6,357.47
  6. Step 6: Final answer
    x = 2,961.42

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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.