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Finding the Fourth Proportional to 6,447.84, 9,671.99 and 2,064.73

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Solution

The fourth proportional to 6,447.84, 9,671.99 and 2,064.73 is: 3,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.84 : 9,671.99 = 2,064.73 : x
  2. Step 2: Convert to fraction form
    6,447.84/9,671.99 = 2,064.73/x
  3. Step 3: Cross multiply
    6,447.84x = 9,671.99 × 2,064.73
  4. Step 4: Simplify right side
    6,447.84x = 19,970,010.15
  5. Step 5: Solve for x
    x = 19,970,010.15/6,447.84
  6. Step 6: Final answer
    x = 3,097.16

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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.