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Finding the Fourth Proportional to 8,182.32, 12,265.80 and 3,798.48

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Solution

The fourth proportional to 8,182.32, 12,265.80 and 3,798.48 is: 5,694.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.32 : 12,265.80 = 3,798.48 : x
  2. Step 2: Convert to fraction form
    8,182.32/12,265.80 = 3,798.48/x
  3. Step 3: Cross multiply
    8,182.32x = 12,265.80 × 3,798.48
  4. Step 4: Simplify right side
    8,182.32x = 46,591,395.98
  5. Step 5: Solve for x
    x = 46,591,395.98/8,182.32
  6. Step 6: Final answer
    x = 5,694.15

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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.