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Finding the Fourth Proportional to 20,589.98, 30,884.63 and 6,549.80

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Solution

The fourth proportional to 20,589.98, 30,884.63 and 6,549.80 is: 9,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589.98 : 30,884.63 = 6,549.80 : x
  2. Step 2: Convert to fraction form
    20,589.98/30,884.63 = 6,549.80/x
  3. Step 3: Cross multiply
    20,589.98x = 30,884.63 × 6,549.80
  4. Step 4: Simplify right side
    20,589.98x = 202,287,962.40
  5. Step 5: Solve for x
    x = 202,287,962.40/20,589.98
  6. Step 6: Final answer
    x = 9,824.59

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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.