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Finding the Fourth Proportional to 6,583.71, 9,879.46 and 2,426.63

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Solution

The fourth proportional to 6,583.71, 9,879.46 and 2,426.63 is: 3,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.71 : 9,879.46 = 2,426.63 : x
  2. Step 2: Convert to fraction form
    6,583.71/9,879.46 = 2,426.63/x
  3. Step 3: Cross multiply
    6,583.71x = 9,879.46 × 2,426.63
  4. Step 4: Simplify right side
    6,583.71x = 23,973,818.50
  5. Step 5: Solve for x
    x = 23,973,818.50/6,583.71
  6. Step 6: Final answer
    x = 3,641.39

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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.