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Finding the Fourth Proportional to 6,583.71, 9,866.79 and 2,881.90

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Solution

The fourth proportional to 6,583.71, 9,866.79 and 2,881.90 is: 4,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.71 : 9,866.79 = 2,881.90 : x
  2. Step 2: Convert to fraction form
    6,583.71/9,866.79 = 2,881.90/x
  3. Step 3: Cross multiply
    6,583.71x = 9,866.79 × 2,881.90
  4. Step 4: Simplify right side
    6,583.71x = 28,435,134.08
  5. Step 5: Solve for x
    x = 28,435,134.08/6,583.71
  6. Step 6: Final answer
    x = 4,319.02

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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.