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Finding the Fourth Proportional to 7,098.48, 10,644.62 and 2,166.98

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Solution

The fourth proportional to 7,098.48, 10,644.62 and 2,166.98 is: 3,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.48 : 10,644.62 = 2,166.98 : x
  2. Step 2: Convert to fraction form
    7,098.48/10,644.62 = 2,166.98/x
  3. Step 3: Cross multiply
    7,098.48x = 10,644.62 × 2,166.98
  4. Step 4: Simplify right side
    7,098.48x = 23,066,614.59
  5. Step 5: Solve for x
    x = 23,066,614.59/7,098.48
  6. Step 6: Final answer
    x = 3,249.51

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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.