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Finding the Fourth Proportional to 6,456.15, 9,684.24 and 2,073.66

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Solution

The fourth proportional to 6,456.15, 9,684.24 and 2,073.66 is: 3,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.15 : 9,684.24 = 2,073.66 : x
  2. Step 2: Convert to fraction form
    6,456.15/9,684.24 = 2,073.66/x
  3. Step 3: Cross multiply
    6,456.15x = 9,684.24 × 2,073.66
  4. Step 4: Simplify right side
    6,456.15x = 20,081,821.12
  5. Step 5: Solve for x
    x = 20,081,821.12/6,456.15
  6. Step 6: Final answer
    x = 3,110.49

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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.