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Finding the Fourth Proportional to 8,252.80, 12,381.20 and 2,409.60

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Solution

The fourth proportional to 8,252.80, 12,381.20 and 2,409.60 is: 3,614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.80 : 12,381.20 = 2,409.60 : x
  2. Step 2: Convert to fraction form
    8,252.80/12,381.20 = 2,409.60/x
  3. Step 3: Cross multiply
    8,252.80x = 12,381.20 × 2,409.60
  4. Step 4: Simplify right side
    8,252.80x = 29,833,739.52
  5. Step 5: Solve for x
    x = 29,833,739.52/8,252.80
  6. Step 6: Final answer
    x = 3,614.98

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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.