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Finding the Fourth Proportional to 13,870.58, 20,813.42 and 5,104.22

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Solution

The fourth proportional to 13,870.58, 20,813.42 and 5,104.22 is: 7,659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.58 : 20,813.42 = 5,104.22 : x
  2. Step 2: Convert to fraction form
    13,870.58/20,813.42 = 5,104.22/x
  3. Step 3: Cross multiply
    13,870.58x = 20,813.42 × 5,104.22
  4. Step 4: Simplify right side
    13,870.58x = 106,236,183.33
  5. Step 5: Solve for x
    x = 106,236,183.33/13,870.58
  6. Step 6: Final answer
    x = 7,659.10

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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.