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Finding the Fourth Proportional to 4,605.46, 6,908.64 and 1,484.73

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Solution

The fourth proportional to 4,605.46, 6,908.64 and 1,484.73 is: 2,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.46 : 6,908.64 = 1,484.73 : x
  2. Step 2: Convert to fraction form
    4,605.46/6,908.64 = 1,484.73/x
  3. Step 3: Cross multiply
    4,605.46x = 6,908.64 × 1,484.73
  4. Step 4: Simplify right side
    4,605.46x = 10,257,467.85
  5. Step 5: Solve for x
    x = 10,257,467.85/4,605.46
  6. Step 6: Final answer
    x = 2,227.24

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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.