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Finding the Fourth Proportional to 6,872.64, 10,308.96 and 2,256

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Solution

The fourth proportional to 6,872.64, 10,308.96 and 2,256 is: 3,384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.64 : 10,308.96 = 2,256 : x
  2. Step 2: Convert to fraction form
    6,872.64/10,308.96 = 2,256/x
  3. Step 3: Cross multiply
    6,872.64x = 10,308.96 × 2,256
  4. Step 4: Simplify right side
    6,872.64x = 23,257,013.76
  5. Step 5: Solve for x
    x = 23,257,013.76/6,872.64
  6. Step 6: Final answer
    x = 3,384.00

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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.