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Finding the Fourth Proportional to 6,447.75, 9,671.13 and 2,064.03

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Solution

The fourth proportional to 6,447.75, 9,671.13 and 2,064.03 is: 3,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.75 : 9,671.13 = 2,064.03 : x
  2. Step 2: Convert to fraction form
    6,447.75/9,671.13 = 2,064.03/x
  3. Step 3: Cross multiply
    6,447.75x = 9,671.13 × 2,064.03
  4. Step 4: Simplify right side
    6,447.75x = 19,961,502.45
  5. Step 5: Solve for x
    x = 19,961,502.45/6,447.75
  6. Step 6: Final answer
    x = 3,095.89

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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.