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Finding the Fourth Proportional to 8,049.80, 12,078.12 and 5,133.80

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Solution

The fourth proportional to 8,049.80, 12,078.12 and 5,133.80 is: 7,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.80 : 12,078.12 = 5,133.80 : x
  2. Step 2: Convert to fraction form
    8,049.80/12,078.12 = 5,133.80/x
  3. Step 3: Cross multiply
    8,049.80x = 12,078.12 × 5,133.80
  4. Step 4: Simplify right side
    8,049.80x = 62,006,652.46
  5. Step 5: Solve for x
    x = 62,006,652.46/8,049.80
  6. Step 6: Final answer
    x = 7,702.88

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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.