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Finding the Fourth Proportional to 10,589.80, 15,884.70 and 10,186.60

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Solution

The fourth proportional to 10,589.80, 15,884.70 and 10,186.60 is: 15,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.80 : 15,884.70 = 10,186.60 : x
  2. Step 2: Convert to fraction form
    10,589.80/15,884.70 = 10,186.60/x
  3. Step 3: Cross multiply
    10,589.80x = 15,884.70 × 10,186.60
  4. Step 4: Simplify right side
    10,589.80x = 161,811,085.02
  5. Step 5: Solve for x
    x = 161,811,085.02/10,589.80
  6. Step 6: Final answer
    x = 15,279.90

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Similar ratio
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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.