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Finding the Fourth Proportional to 13,494.94, 20,244.82 and 6,102.88

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Solution

The fourth proportional to 13,494.94, 20,244.82 and 6,102.88 is: 9,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.94 : 20,244.82 = 6,102.88 : x
  2. Step 2: Convert to fraction form
    13,494.94/20,244.82 = 6,102.88/x
  3. Step 3: Cross multiply
    13,494.94x = 20,244.82 × 6,102.88
  4. Step 4: Simplify right side
    13,494.94x = 123,551,707.08
  5. Step 5: Solve for x
    x = 123,551,707.08/13,494.94
  6. Step 6: Final answer
    x = 9,155.41

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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.