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Finding the Fourth Proportional to 4,388.54, 6,578.64 and 1,464.77

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Solution

The fourth proportional to 4,388.54, 6,578.64 and 1,464.77 is: 2,195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,388.54 : 6,578.64 = 1,464.77 : x
  2. Step 2: Convert to fraction form
    4,388.54/6,578.64 = 1,464.77/x
  3. Step 3: Cross multiply
    4,388.54x = 6,578.64 × 1,464.77
  4. Step 4: Simplify right side
    4,388.54x = 9,636,161.62
  5. Step 5: Solve for x
    x = 9,636,161.62/4,388.54
  6. Step 6: Final answer
    x = 2,195.76

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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.