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Finding the Fourth Proportional to 7,097.52, 10,646.84 and 2,167.21

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Solution

The fourth proportional to 7,097.52, 10,646.84 and 2,167.21 is: 3,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.52 : 10,646.84 = 2,167.21 : x
  2. Step 2: Convert to fraction form
    7,097.52/10,646.84 = 2,167.21/x
  3. Step 3: Cross multiply
    7,097.52x = 10,646.84 × 2,167.21
  4. Step 4: Simplify right side
    7,097.52x = 23,073,896.95
  5. Step 5: Solve for x
    x = 23,073,896.95/7,097.52
  6. Step 6: Final answer
    x = 3,250.98

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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.