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Finding the Fourth Proportional to 5,797.62, 8,696.43 and 1,415.07

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Solution

The fourth proportional to 5,797.62, 8,696.43 and 1,415.07 is: 2,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.62 : 8,696.43 = 1,415.07 : x
  2. Step 2: Convert to fraction form
    5,797.62/8,696.43 = 1,415.07/x
  3. Step 3: Cross multiply
    5,797.62x = 8,696.43 × 1,415.07
  4. Step 4: Simplify right side
    5,797.62x = 12,306,057.20
  5. Step 5: Solve for x
    x = 12,306,057.20/5,797.62
  6. Step 6: Final answer
    x = 2,122.61

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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.