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Finding the Fourth Proportional to 6,462.54, 9,674.67 and 3,989.41

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Solution

The fourth proportional to 6,462.54, 9,674.67 and 3,989.41 is: 5,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.54 : 9,674.67 = 3,989.41 : x
  2. Step 2: Convert to fraction form
    6,462.54/9,674.67 = 3,989.41/x
  3. Step 3: Cross multiply
    6,462.54x = 9,674.67 × 3,989.41
  4. Step 4: Simplify right side
    6,462.54x = 38,596,216.02
  5. Step 5: Solve for x
    x = 38,596,216.02/6,462.54
  6. Step 6: Final answer
    x = 5,972.30

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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.