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Finding the Fourth Proportional to 11,174.98, 16,764.87 and 9,605.20

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Solution

The fourth proportional to 11,174.98, 16,764.87 and 9,605.20 is: 14,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.98 : 16,764.87 = 9,605.20 : x
  2. Step 2: Convert to fraction form
    11,174.98/16,764.87 = 9,605.20/x
  3. Step 3: Cross multiply
    11,174.98x = 16,764.87 × 9,605.20
  4. Step 4: Simplify right side
    11,174.98x = 161,029,929.32
  5. Step 5: Solve for x
    x = 161,029,929.32/11,174.98
  6. Step 6: Final answer
    x = 14,409.86

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1.5x scale

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.