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Finding the Fourth Proportional to 6,256.78, 9,385.16 and 2,096

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Solution

The fourth proportional to 6,256.78, 9,385.16 and 2,096 is: 3,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.78 : 9,385.16 = 2,096 : x
  2. Step 2: Convert to fraction form
    6,256.78/9,385.16 = 2,096/x
  3. Step 3: Cross multiply
    6,256.78x = 9,385.16 × 2,096
  4. Step 4: Simplify right side
    6,256.78x = 19,671,295.36
  5. Step 5: Solve for x
    x = 19,671,295.36/6,256.78
  6. Step 6: Final answer
    x = 3,144.00

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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.