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Finding the Fourth Proportional to 6,582.87, 9,875.87 and 1,965.75

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Solution

The fourth proportional to 6,582.87, 9,875.87 and 1,965.75 is: 2,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.87 : 9,875.87 = 1,965.75 : x
  2. Step 2: Convert to fraction form
    6,582.87/9,875.87 = 1,965.75/x
  3. Step 3: Cross multiply
    6,582.87x = 9,875.87 × 1,965.75
  4. Step 4: Simplify right side
    6,582.87x = 19,413,481.62
  5. Step 5: Solve for x
    x = 19,413,481.62/6,582.87
  6. Step 6: Final answer
    x = 2,949.09

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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.