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Finding the Fourth Proportional to 13,891.08, 20,822.04 and 5,120.40

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Solution

The fourth proportional to 13,891.08, 20,822.04 and 5,120.40 is: 7,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.08 : 20,822.04 = 5,120.40 : x
  2. Step 2: Convert to fraction form
    13,891.08/20,822.04 = 5,120.40/x
  3. Step 3: Cross multiply
    13,891.08x = 20,822.04 × 5,120.40
  4. Step 4: Simplify right side
    13,891.08x = 106,617,173.62
  5. Step 5: Solve for x
    x = 106,617,173.62/13,891.08
  6. Step 6: Final answer
    x = 7,675.23

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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.