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Finding the Fourth Proportional to 11,950.03, 16,495.14 and 7,234.31

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Solution

The fourth proportional to 11,950.03, 16,495.14 and 7,234.31 is: 9,985.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.03 : 16,495.14 = 7,234.31 : x
  2. Step 2: Convert to fraction form
    11,950.03/16,495.14 = 7,234.31/x
  3. Step 3: Cross multiply
    11,950.03x = 16,495.14 × 7,234.31
  4. Step 4: Simplify right side
    11,950.03x = 119,331,024.62
  5. Step 5: Solve for x
    x = 119,331,024.62/11,950.03
  6. Step 6: Final answer
    x = 9,985.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.