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Finding the Fourth Proportional to 6,943.21, 9,586.11 and 6,195.89

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Solution

The fourth proportional to 6,943.21, 9,586.11 and 6,195.89 is: 8,554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.21 : 9,586.11 = 6,195.89 : x
  2. Step 2: Convert to fraction form
    6,943.21/9,586.11 = 6,195.89/x
  3. Step 3: Cross multiply
    6,943.21x = 9,586.11 × 6,195.89
  4. Step 4: Simplify right side
    6,943.21x = 59,394,424.09
  5. Step 5: Solve for x
    x = 59,394,424.09/6,943.21
  6. Step 6: Final answer
    x = 8,554.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.