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Finding the Fourth Proportional to 13,525.44, 18,668 and 7,937.60

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Solution

The fourth proportional to 13,525.44, 18,668 and 7,937.60 is: 10,955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525.44 : 18,668 = 7,937.60 : x
  2. Step 2: Convert to fraction form
    13,525.44/18,668 = 7,937.60/x
  3. Step 3: Cross multiply
    13,525.44x = 18,668 × 7,937.60
  4. Step 4: Simplify right side
    13,525.44x = 148,179,116.80
  5. Step 5: Solve for x
    x = 148,179,116.80/13,525.44
  6. Step 6: Final answer
    x = 10,955.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.