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Finding the Fourth Proportional to 6,074.87, 8,328.64 and 5,964.15

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Solution

The fourth proportional to 6,074.87, 8,328.64 and 5,964.15 is: 8,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.87 : 8,328.64 = 5,964.15 : x
  2. Step 2: Convert to fraction form
    6,074.87/8,328.64 = 5,964.15/x
  3. Step 3: Cross multiply
    6,074.87x = 8,328.64 × 5,964.15
  4. Step 4: Simplify right side
    6,074.87x = 49,673,238.91
  5. Step 5: Solve for x
    x = 49,673,238.91/6,074.87
  6. Step 6: Final answer
    x = 8,176.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.