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Finding the Fourth Proportional to 6,357.72, 9,537.82 and 1,974.98

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Solution

The fourth proportional to 6,357.72, 9,537.82 and 1,974.98 is: 2,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.72 : 9,537.82 = 1,974.98 : x
  2. Step 2: Convert to fraction form
    6,357.72/9,537.82 = 1,974.98/x
  3. Step 3: Cross multiply
    6,357.72x = 9,537.82 × 1,974.98
  4. Step 4: Simplify right side
    6,357.72x = 18,837,003.74
  5. Step 5: Solve for x
    x = 18,837,003.74/6,357.72
  6. Step 6: Final answer
    x = 2,962.86

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1.5x scale

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.