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Finding the Fourth Proportional to 10,450.98, 15,671.61 and 6,069.69

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Solution

The fourth proportional to 10,450.98, 15,671.61 and 6,069.69 is: 9,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.98 : 15,671.61 = 6,069.69 : x
  2. Step 2: Convert to fraction form
    10,450.98/15,671.61 = 6,069.69/x
  3. Step 3: Cross multiply
    10,450.98x = 15,671.61 × 6,069.69
  4. Step 4: Simplify right side
    10,450.98x = 95,121,814.50
  5. Step 5: Solve for x
    x = 95,121,814.50/10,450.98
  6. Step 6: Final answer
    x = 9,101.71

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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.