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Finding the Fourth Proportional to 5,205.76, 7,806.69 and 1,694.86

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Solution

The fourth proportional to 5,205.76, 7,806.69 and 1,694.86 is: 2,541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.76 : 7,806.69 = 1,694.86 : x
  2. Step 2: Convert to fraction form
    5,205.76/7,806.69 = 1,694.86/x
  3. Step 3: Cross multiply
    5,205.76x = 7,806.69 × 1,694.86
  4. Step 4: Simplify right side
    5,205.76x = 13,231,227.10
  5. Step 5: Solve for x
    x = 13,231,227.10/5,205.76
  6. Step 6: Final answer
    x = 2,541.65

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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.