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Finding the Fourth Proportional to 7,097.31, 10,645.74 and 2,166.75

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Solution

The fourth proportional to 7,097.31, 10,645.74 and 2,166.75 is: 3,250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.31 : 10,645.74 = 2,166.75 : x
  2. Step 2: Convert to fraction form
    7,097.31/10,645.74 = 2,166.75/x
  3. Step 3: Cross multiply
    7,097.31x = 10,645.74 × 2,166.75
  4. Step 4: Simplify right side
    7,097.31x = 23,066,657.15
  5. Step 5: Solve for x
    x = 23,066,657.15/7,097.31
  6. Step 6: Final answer
    x = 3,250.06

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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.