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Finding the Fourth Proportional to 11,605.98, 16,004.49 and 9,932.94

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Solution

The fourth proportional to 11,605.98, 16,004.49 and 9,932.94 is: 13,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.98 : 16,004.49 = 9,932.94 : x
  2. Step 2: Convert to fraction form
    11,605.98/16,004.49 = 9,932.94/x
  3. Step 3: Cross multiply
    11,605.98x = 16,004.49 × 9,932.94
  4. Step 4: Simplify right side
    11,605.98x = 158,971,638.90
  5. Step 5: Solve for x
    x = 158,971,638.90/11,605.98
  6. Step 6: Final answer
    x = 13,697.39

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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.