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Finding the Fourth Proportional to 6,454.84, 9,684.99 and 3,529.73

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Solution

The fourth proportional to 6,454.84, 9,684.99 and 3,529.73 is: 5,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.84 : 9,684.99 = 3,529.73 : x
  2. Step 2: Convert to fraction form
    6,454.84/9,684.99 = 3,529.73/x
  3. Step 3: Cross multiply
    6,454.84x = 9,684.99 × 3,529.73
  4. Step 4: Simplify right side
    6,454.84x = 34,185,379.41
  5. Step 5: Solve for x
    x = 34,185,379.41/6,454.84
  6. Step 6: Final answer
    x = 5,296.09

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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.