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Finding the Fourth Proportional to 13,685.80, 20,523.90 and 7,109.80

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Solution

The fourth proportional to 13,685.80, 20,523.90 and 7,109.80 is: 10,662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.80 : 20,523.90 = 7,109.80 : x
  2. Step 2: Convert to fraction form
    13,685.80/20,523.90 = 7,109.80/x
  3. Step 3: Cross multiply
    13,685.80x = 20,523.90 × 7,109.80
  4. Step 4: Simplify right side
    13,685.80x = 145,920,824.22
  5. Step 5: Solve for x
    x = 145,920,824.22/13,685.80
  6. Step 6: Final answer
    x = 10,662.21

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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.