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Finding the Fourth Proportional to 8,189.80, 12,284.70 and 3,805.80

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Solution

The fourth proportional to 8,189.80, 12,284.70 and 3,805.80 is: 5,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.80 : 12,284.70 = 3,805.80 : x
  2. Step 2: Convert to fraction form
    8,189.80/12,284.70 = 3,805.80/x
  3. Step 3: Cross multiply
    8,189.80x = 12,284.70 × 3,805.80
  4. Step 4: Simplify right side
    8,189.80x = 46,753,111.26
  5. Step 5: Solve for x
    x = 46,753,111.26/8,189.80
  6. Step 6: Final answer
    x = 5,708.70

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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.