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Finding the Fourth Proportional to 8,133.20, 12,199.80 and 7,182.80

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Solution

The fourth proportional to 8,133.20, 12,199.80 and 7,182.80 is: 10,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.20 : 12,199.80 = 7,182.80 : x
  2. Step 2: Convert to fraction form
    8,133.20/12,199.80 = 7,182.80/x
  3. Step 3: Cross multiply
    8,133.20x = 12,199.80 × 7,182.80
  4. Step 4: Simplify right side
    8,133.20x = 87,628,723.44
  5. Step 5: Solve for x
    x = 87,628,723.44/8,133.20
  6. Step 6: Final answer
    x = 10,774.20

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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.