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Finding the Fourth Proportional to 6,873.30, 10,309.92 and 2,256.30

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Solution

The fourth proportional to 6,873.30, 10,309.92 and 2,256.30 is: 3,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.30 : 10,309.92 = 2,256.30 : x
  2. Step 2: Convert to fraction form
    6,873.30/10,309.92 = 2,256.30/x
  3. Step 3: Cross multiply
    6,873.30x = 10,309.92 × 2,256.30
  4. Step 4: Simplify right side
    6,873.30x = 23,262,272.50
  5. Step 5: Solve for x
    x = 23,262,272.50/6,873.30
  6. Step 6: Final answer
    x = 3,384.44

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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.