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Finding the Fourth Proportional to 8,022.92, 12,034.38 and 3,091.64

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Solution

The fourth proportional to 8,022.92, 12,034.38 and 3,091.64 is: 4,637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.92 : 12,034.38 = 3,091.64 : x
  2. Step 2: Convert to fraction form
    8,022.92/12,034.38 = 3,091.64/x
  3. Step 3: Cross multiply
    8,022.92x = 12,034.38 × 3,091.64
  4. Step 4: Simplify right side
    8,022.92x = 37,205,970.58
  5. Step 5: Solve for x
    x = 37,205,970.58/8,022.92
  6. Step 6: Final answer
    x = 4,637.46

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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.