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Finding the Fourth Proportional to 6,244.80, 9,416.04 and 5,467.20

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Solution

The fourth proportional to 6,244.80, 9,416.04 and 5,467.20 is: 8,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.80 : 9,416.04 = 5,467.20 : x
  2. Step 2: Convert to fraction form
    6,244.80/9,416.04 = 5,467.20/x
  3. Step 3: Cross multiply
    6,244.80x = 9,416.04 × 5,467.20
  4. Step 4: Simplify right side
    6,244.80x = 51,479,373.89
  5. Step 5: Solve for x
    x = 51,479,373.89/6,244.80
  6. Step 6: Final answer
    x = 8,243.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.