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Finding the Fourth Proportional to 11,605.48, 16,003.80 and 9,932.44

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Solution

The fourth proportional to 11,605.48, 16,003.80 and 9,932.44 is: 13,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.48 : 16,003.80 = 9,932.44 : x
  2. Step 2: Convert to fraction form
    11,605.48/16,003.80 = 9,932.44/x
  3. Step 3: Cross multiply
    11,605.48x = 16,003.80 × 9,932.44
  4. Step 4: Simplify right side
    11,605.48x = 158,956,783.27
  5. Step 5: Solve for x
    x = 158,956,783.27/11,605.48
  6. Step 6: Final answer
    x = 13,696.70

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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.