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Finding the Fourth Proportional to 11,765.13, 16,243.48 and 7,293.66

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Solution

The fourth proportional to 11,765.13, 16,243.48 and 7,293.66 is: 10,069.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.13 : 16,243.48 = 7,293.66 : x
  2. Step 2: Convert to fraction form
    11,765.13/16,243.48 = 7,293.66/x
  3. Step 3: Cross multiply
    11,765.13x = 16,243.48 × 7,293.66
  4. Step 4: Simplify right side
    11,765.13x = 118,474,383.87
  5. Step 5: Solve for x
    x = 118,474,383.87/11,765.13
  6. Step 6: Final answer
    x = 10,069.96

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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.