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Finding the Fourth Proportional to 6,542.66, 9,797.58 and 3,908.54

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Solution

The fourth proportional to 6,542.66, 9,797.58 and 3,908.54 is: 5,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.66 : 9,797.58 = 3,908.54 : x
  2. Step 2: Convert to fraction form
    6,542.66/9,797.58 = 3,908.54/x
  3. Step 3: Cross multiply
    6,542.66x = 9,797.58 × 3,908.54
  4. Step 4: Simplify right side
    6,542.66x = 38,294,233.33
  5. Step 5: Solve for x
    x = 38,294,233.33/6,542.66
  6. Step 6: Final answer
    x = 5,853.01

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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.