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Finding the Fourth Proportional to 8,405.80, 12,576.30 and 5,489.80

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Solution

The fourth proportional to 8,405.80, 12,576.30 and 5,489.80 is: 8,213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.80 : 12,576.30 = 5,489.80 : x
  2. Step 2: Convert to fraction form
    8,405.80/12,576.30 = 5,489.80/x
  3. Step 3: Cross multiply
    8,405.80x = 12,576.30 × 5,489.80
  4. Step 4: Simplify right side
    8,405.80x = 69,041,371.74
  5. Step 5: Solve for x
    x = 69,041,371.74/8,405.80
  6. Step 6: Final answer
    x = 8,213.54

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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.