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Finding the Fourth Proportional to 8,533.20, 12,778.20 and 6,805.20

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Solution

The fourth proportional to 8,533.20, 12,778.20 and 6,805.20 is: 10,190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.20 : 12,778.20 = 6,805.20 : x
  2. Step 2: Convert to fraction form
    8,533.20/12,778.20 = 6,805.20/x
  3. Step 3: Cross multiply
    8,533.20x = 12,778.20 × 6,805.20
  4. Step 4: Simplify right side
    8,533.20x = 86,958,206.64
  5. Step 5: Solve for x
    x = 86,958,206.64/8,533.20
  6. Step 6: Final answer
    x = 10,190.57

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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.