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Finding the Fourth Proportional to 6,296, 9,457.92 and 4,108.16

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Solution

The fourth proportional to 6,296, 9,457.92 and 4,108.16 is: 6,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296 : 9,457.92 = 4,108.16 : x
  2. Step 2: Convert to fraction form
    6,296/9,457.92 = 4,108.16/x
  3. Step 3: Cross multiply
    6,296x = 9,457.92 × 4,108.16
  4. Step 4: Simplify right side
    6,296x = 38,854,648.63
  5. Step 5: Solve for x
    x = 38,854,648.63/6,296
  6. Step 6: Final answer
    x = 6,171.32

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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.