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Finding the Fourth Proportional to 5,102.97, 7,651.59 and 1,769.67

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Solution

The fourth proportional to 5,102.97, 7,651.59 and 1,769.67 is: 2,653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.97 : 7,651.59 = 1,769.67 : x
  2. Step 2: Convert to fraction form
    5,102.97/7,651.59 = 1,769.67/x
  3. Step 3: Cross multiply
    5,102.97x = 7,651.59 × 1,769.67
  4. Step 4: Simplify right side
    5,102.97x = 13,540,789.28
  5. Step 5: Solve for x
    x = 13,540,789.28/5,102.97
  6. Step 6: Final answer
    x = 2,653.51

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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.