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Finding the Fourth Proportional to 6,873.04, 10,309.52 and 2,256

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Solution

The fourth proportional to 6,873.04, 10,309.52 and 2,256 is: 3,383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.04 : 10,309.52 = 2,256 : x
  2. Step 2: Convert to fraction form
    6,873.04/10,309.52 = 2,256/x
  3. Step 3: Cross multiply
    6,873.04x = 10,309.52 × 2,256
  4. Step 4: Simplify right side
    6,873.04x = 23,258,277.12
  5. Step 5: Solve for x
    x = 23,258,277.12/6,873.04
  6. Step 6: Final answer
    x = 3,383.99

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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.