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Finding the Fourth Proportional to 7,065, 10,597.14 and 2,134.62

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Solution

The fourth proportional to 7,065, 10,597.14 and 2,134.62 is: 3,201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065 : 10,597.14 = 2,134.62 : x
  2. Step 2: Convert to fraction form
    7,065/10,597.14 = 2,134.62/x
  3. Step 3: Cross multiply
    7,065x = 10,597.14 × 2,134.62
  4. Step 4: Simplify right side
    7,065x = 22,620,866.99
  5. Step 5: Solve for x
    x = 22,620,866.99/7,065
  6. Step 6: Final answer
    x = 3,201.82

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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.