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Finding the Fourth Proportional to 10,811.14, 16,245.87 and 6,138.25

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Solution

The fourth proportional to 10,811.14, 16,245.87 and 6,138.25 is: 9,223.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.14 : 16,245.87 = 6,138.25 : x
  2. Step 2: Convert to fraction form
    10,811.14/16,245.87 = 6,138.25/x
  3. Step 3: Cross multiply
    10,811.14x = 16,245.87 × 6,138.25
  4. Step 4: Simplify right side
    10,811.14x = 99,721,211.53
  5. Step 5: Solve for x
    x = 99,721,211.53/10,811.14
  6. Step 6: Final answer
    x = 9,223.93

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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.