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Finding the Fourth Proportional to 6,945.90, 9,589.82 and 6,198.58

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Solution

The fourth proportional to 6,945.90, 9,589.82 and 6,198.58 is: 8,558.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.90 : 9,589.82 = 6,198.58 : x
  2. Step 2: Convert to fraction form
    6,945.90/9,589.82 = 6,198.58/x
  3. Step 3: Cross multiply
    6,945.90x = 9,589.82 × 6,198.58
  4. Step 4: Simplify right side
    6,945.90x = 59,443,266.46
  5. Step 5: Solve for x
    x = 59,443,266.46/6,945.90
  6. Step 6: Final answer
    x = 8,558.04

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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.