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Finding the Fourth Proportional to 6,357.21, 9,537.08 and 1,974.48

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Solution

The fourth proportional to 6,357.21, 9,537.08 and 1,974.48 is: 2,962.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.21 : 9,537.08 = 1,974.48 : x
  2. Step 2: Convert to fraction form
    6,357.21/9,537.08 = 1,974.48/x
  3. Step 3: Cross multiply
    6,357.21x = 9,537.08 × 1,974.48
  4. Step 4: Simplify right side
    6,357.21x = 18,830,763.85
  5. Step 5: Solve for x
    x = 18,830,763.85/6,357.21
  6. Step 6: Final answer
    x = 2,962.11

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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.