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Finding the Fourth Proportional to 6,484.80, 9,730.25 and 3,363.12

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Solution

The fourth proportional to 6,484.80, 9,730.25 and 3,363.12 is: 5,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.80 : 9,730.25 = 3,363.12 : x
  2. Step 2: Convert to fraction form
    6,484.80/9,730.25 = 3,363.12/x
  3. Step 3: Cross multiply
    6,484.80x = 9,730.25 × 3,363.12
  4. Step 4: Simplify right side
    6,484.80x = 32,724,003.63
  5. Step 5: Solve for x
    x = 32,724,003.63/6,484.80
  6. Step 6: Final answer
    x = 5,046.27

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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.