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Finding the Fourth Proportional to 7,098.62, 9,796.20 and 4,114.68

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Solution

The fourth proportional to 7,098.62, 9,796.20 and 4,114.68 is: 5,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.62 : 9,796.20 = 4,114.68 : x
  2. Step 2: Convert to fraction form
    7,098.62/9,796.20 = 4,114.68/x
  3. Step 3: Cross multiply
    7,098.62x = 9,796.20 × 4,114.68
  4. Step 4: Simplify right side
    7,098.62x = 40,308,228.22
  5. Step 5: Solve for x
    x = 40,308,228.22/7,098.62
  6. Step 6: Final answer
    x = 5,678.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.