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Finding the Fourth Proportional to 6,583.75, 9,879.92 and 2,423.80

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Solution

The fourth proportional to 6,583.75, 9,879.92 and 2,423.80 is: 3,637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.75 : 9,879.92 = 2,423.80 : x
  2. Step 2: Convert to fraction form
    6,583.75/9,879.92 = 2,423.80/x
  3. Step 3: Cross multiply
    6,583.75x = 9,879.92 × 2,423.80
  4. Step 4: Simplify right side
    6,583.75x = 23,946,950.10
  5. Step 5: Solve for x
    x = 23,946,950.10/6,583.75
  6. Step 6: Final answer
    x = 3,637.28

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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.