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Finding the Fourth Proportional to 6,576.40, 9,871.80 and 3,660.40

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Solution

The fourth proportional to 6,576.40, 9,871.80 and 3,660.40 is: 5,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.40 : 9,871.80 = 3,660.40 : x
  2. Step 2: Convert to fraction form
    6,576.40/9,871.80 = 3,660.40/x
  3. Step 3: Cross multiply
    6,576.40x = 9,871.80 × 3,660.40
  4. Step 4: Simplify right side
    6,576.40x = 36,134,736.72
  5. Step 5: Solve for x
    x = 36,134,736.72/6,576.40
  6. Step 6: Final answer
    x = 5,494.61

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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.