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Finding the Fourth Proportional to 8,189.72, 12,284.58 and 2,033.72

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Solution

The fourth proportional to 8,189.72, 12,284.58 and 2,033.72 is: 3,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.72 : 12,284.58 = 2,033.72 : x
  2. Step 2: Convert to fraction form
    8,189.72/12,284.58 = 2,033.72/x
  3. Step 3: Cross multiply
    8,189.72x = 12,284.58 × 2,033.72
  4. Step 4: Simplify right side
    8,189.72x = 24,983,388.31
  5. Step 5: Solve for x
    x = 24,983,388.31/8,189.72
  6. Step 6: Final answer
    x = 3,050.58

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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.