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Finding the Fourth Proportional to 4,581.44, 6,874.16 and 4,384.64

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Solution

The fourth proportional to 4,581.44, 6,874.16 and 4,384.64 is: 6,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581.44 : 6,874.16 = 4,384.64 : x
  2. Step 2: Convert to fraction form
    4,581.44/6,874.16 = 4,384.64/x
  3. Step 3: Cross multiply
    4,581.44x = 6,874.16 × 4,384.64
  4. Step 4: Simplify right side
    4,581.44x = 30,140,716.90
  5. Step 5: Solve for x
    x = 30,140,716.90/4,581.44
  6. Step 6: Final answer
    x = 6,578.87

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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.