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Finding the Fourth Proportional to 5,786.74, 8,680.16 and 1,404.24

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Solution

The fourth proportional to 5,786.74, 8,680.16 and 1,404.24 is: 2,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.74 : 8,680.16 = 1,404.24 : x
  2. Step 2: Convert to fraction form
    5,786.74/8,680.16 = 1,404.24/x
  3. Step 3: Cross multiply
    5,786.74x = 8,680.16 × 1,404.24
  4. Step 4: Simplify right side
    5,786.74x = 12,188,998.84
  5. Step 5: Solve for x
    x = 12,188,998.84/5,786.74
  6. Step 6: Final answer
    x = 2,106.37

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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.