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Finding the Fourth Proportional to 8,534.97, 12,797.83 and 3,849.50

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Solution

The fourth proportional to 8,534.97, 12,797.83 and 3,849.50 is: 5,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.97 : 12,797.83 = 3,849.50 : x
  2. Step 2: Convert to fraction form
    8,534.97/12,797.83 = 3,849.50/x
  3. Step 3: Cross multiply
    8,534.97x = 12,797.83 × 3,849.50
  4. Step 4: Simplify right side
    8,534.97x = 49,265,246.59
  5. Step 5: Solve for x
    x = 49,265,246.59/8,534.97
  6. Step 6: Final answer
    x = 5,772.16

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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.