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Finding the Fourth Proportional to 13,642.56, 20,469.12 and 5,323.32

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Solution

The fourth proportional to 13,642.56, 20,469.12 and 5,323.32 is: 7,987.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.56 : 20,469.12 = 5,323.32 : x
  2. Step 2: Convert to fraction form
    13,642.56/20,469.12 = 5,323.32/x
  3. Step 3: Cross multiply
    13,642.56x = 20,469.12 × 5,323.32
  4. Step 4: Simplify right side
    13,642.56x = 108,963,675.88
  5. Step 5: Solve for x
    x = 108,963,675.88/13,642.56
  6. Step 6: Final answer
    x = 7,987.04

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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.