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Finding the Fourth Proportional to 11,840.94, 17,733.74 and 9,359.10

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Solution

The fourth proportional to 11,840.94, 17,733.74 and 9,359.10 is: 14,016.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.94 : 17,733.74 = 9,359.10 : x
  2. Step 2: Convert to fraction form
    11,840.94/17,733.74 = 9,359.10/x
  3. Step 3: Cross multiply
    11,840.94x = 17,733.74 × 9,359.10
  4. Step 4: Simplify right side
    11,840.94x = 165,971,799.24
  5. Step 5: Solve for x
    x = 165,971,799.24/11,840.94
  6. Step 6: Final answer
    x = 14,016.78

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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.