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Finding the Fourth Proportional to 6,543.96, 9,802.40 and 3,202.16

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Solution

The fourth proportional to 6,543.96, 9,802.40 and 3,202.16 is: 4,796.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.96 : 9,802.40 = 3,202.16 : x
  2. Step 2: Convert to fraction form
    6,543.96/9,802.40 = 3,202.16/x
  3. Step 3: Cross multiply
    6,543.96x = 9,802.40 × 3,202.16
  4. Step 4: Simplify right side
    6,543.96x = 31,388,788.16
  5. Step 5: Solve for x
    x = 31,388,788.16/6,543.96
  6. Step 6: Final answer
    x = 4,796.60

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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.