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Finding the Fourth Proportional to 6,357.96, 9,537.96 and 1,976.43

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Solution

The fourth proportional to 6,357.96, 9,537.96 and 1,976.43 is: 2,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.96 : 9,537.96 = 1,976.43 : x
  2. Step 2: Convert to fraction form
    6,357.96/9,537.96 = 1,976.43/x
  3. Step 3: Cross multiply
    6,357.96x = 9,537.96 × 1,976.43
  4. Step 4: Simplify right side
    6,357.96x = 18,851,110.28
  5. Step 5: Solve for x
    x = 18,851,110.28/6,357.96
  6. Step 6: Final answer
    x = 2,964.96

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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.