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Finding the Fourth Proportional to 6,563.04, 9,848.24 and 3,484.96

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Solution

The fourth proportional to 6,563.04, 9,848.24 and 3,484.96 is: 5,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.04 : 9,848.24 = 3,484.96 : x
  2. Step 2: Convert to fraction form
    6,563.04/9,848.24 = 3,484.96/x
  3. Step 3: Cross multiply
    6,563.04x = 9,848.24 × 3,484.96
  4. Step 4: Simplify right side
    6,563.04x = 34,320,722.47
  5. Step 5: Solve for x
    x = 34,320,722.47/6,563.04
  6. Step 6: Final answer
    x = 5,229.39

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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.