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Finding the Fourth Proportional to 8,059.77, 12,093.38 and 3,678.57

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Solution

The fourth proportional to 8,059.77, 12,093.38 and 3,678.57 is: 5,519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059.77 : 12,093.38 = 3,678.57 : x
  2. Step 2: Convert to fraction form
    8,059.77/12,093.38 = 3,678.57/x
  3. Step 3: Cross multiply
    8,059.77x = 12,093.38 × 3,678.57
  4. Step 4: Simplify right side
    8,059.77x = 44,486,326.47
  5. Step 5: Solve for x
    x = 44,486,326.47/8,059.77
  6. Step 6: Final answer
    x = 5,519.55

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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.