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Finding the Fourth Proportional to 13,797.81, 20,633.13 and 10,246.64

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Solution

The fourth proportional to 13,797.81, 20,633.13 and 10,246.64 is: 15,322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.81 : 20,633.13 = 10,246.64 : x
  2. Step 2: Convert to fraction form
    13,797.81/20,633.13 = 10,246.64/x
  3. Step 3: Cross multiply
    13,797.81x = 20,633.13 × 10,246.64
  4. Step 4: Simplify right side
    13,797.81x = 211,420,152.02
  5. Step 5: Solve for x
    x = 211,420,152.02/13,797.81
  6. Step 6: Final answer
    x = 15,322.73

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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.