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Finding the Fourth Proportional to 6,199.78, 9,315.77 and 5,794.84

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Solution

The fourth proportional to 6,199.78, 9,315.77 and 5,794.84 is: 8,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.78 : 9,315.77 = 5,794.84 : x
  2. Step 2: Convert to fraction form
    6,199.78/9,315.77 = 5,794.84/x
  3. Step 3: Cross multiply
    6,199.78x = 9,315.77 × 5,794.84
  4. Step 4: Simplify right side
    6,199.78x = 53,983,350.05
  5. Step 5: Solve for x
    x = 53,983,350.05/6,199.78
  6. Step 6: Final answer
    x = 8,707.30

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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.