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Finding the Fourth Proportional to 9,195.50, 13,793.29 and 2,270

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Solution

The fourth proportional to 9,195.50, 13,793.29 and 2,270 is: 3,405.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.50 : 13,793.29 = 2,270 : x
  2. Step 2: Convert to fraction form
    9,195.50/13,793.29 = 2,270/x
  3. Step 3: Cross multiply
    9,195.50x = 13,793.29 × 2,270
  4. Step 4: Simplify right side
    9,195.50x = 31,310,756.95
  5. Step 5: Solve for x
    x = 31,310,756.95/9,195.50
  6. Step 6: Final answer
    x = 3,405.01

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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.