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Finding the Fourth Proportional to 10,993.70, 16,494.20 and 7,310.43

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Solution

The fourth proportional to 10,993.70, 16,494.20 and 7,310.43 is: 10,968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.70 : 16,494.20 = 7,310.43 : x
  2. Step 2: Convert to fraction form
    10,993.70/16,494.20 = 7,310.43/x
  3. Step 3: Cross multiply
    10,993.70x = 16,494.20 × 7,310.43
  4. Step 4: Simplify right side
    10,993.70x = 120,579,657.95
  5. Step 5: Solve for x
    x = 120,579,657.95/10,993.70
  6. Step 6: Final answer
    x = 10,968.07

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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.