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Finding the Fourth Proportional to 6,582.54, 9,873.81 and 2,686.26

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Solution

The fourth proportional to 6,582.54, 9,873.81 and 2,686.26 is: 4,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.54 : 9,873.81 = 2,686.26 : x
  2. Step 2: Convert to fraction form
    6,582.54/9,873.81 = 2,686.26/x
  3. Step 3: Cross multiply
    6,582.54x = 9,873.81 × 2,686.26
  4. Step 4: Simplify right side
    6,582.54x = 26,523,620.85
  5. Step 5: Solve for x
    x = 26,523,620.85/6,582.54
  6. Step 6: Final answer
    x = 4,029.39

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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.