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Finding the Fourth Proportional to 9,190.50, 13,785.89 and 2,265

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Solution

The fourth proportional to 9,190.50, 13,785.89 and 2,265 is: 3,397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.50 : 13,785.89 = 2,265 : x
  2. Step 2: Convert to fraction form
    9,190.50/13,785.89 = 2,265/x
  3. Step 3: Cross multiply
    9,190.50x = 13,785.89 × 2,265
  4. Step 4: Simplify right side
    9,190.50x = 31,225,040.85
  5. Step 5: Solve for x
    x = 31,225,040.85/9,190.50
  6. Step 6: Final answer
    x = 3,397.53

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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.