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Finding the Fourth Proportional to 11,503.27, 17,237.77 and 5,949.20

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Solution

The fourth proportional to 11,503.27, 17,237.77 and 5,949.20 is: 8,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.27 : 17,237.77 = 5,949.20 : x
  2. Step 2: Convert to fraction form
    11,503.27/17,237.77 = 5,949.20/x
  3. Step 3: Cross multiply
    11,503.27x = 17,237.77 × 5,949.20
  4. Step 4: Simplify right side
    11,503.27x = 102,550,840.22
  5. Step 5: Solve for x
    x = 102,550,840.22/11,503.27
  6. Step 6: Final answer
    x = 8,914.93

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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.