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Finding the Fourth Proportional to 11,950.14, 17,930.25 and 6,402

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Solution

The fourth proportional to 11,950.14, 17,930.25 and 6,402 is: 9,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.14 : 17,930.25 = 6,402 : x
  2. Step 2: Convert to fraction form
    11,950.14/17,930.25 = 6,402/x
  3. Step 3: Cross multiply
    11,950.14x = 17,930.25 × 6,402
  4. Step 4: Simplify right side
    11,950.14x = 114,789,460.50
  5. Step 5: Solve for x
    x = 114,789,460.50/11,950.14
  6. Step 6: Final answer
    x = 9,605.70

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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.