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Finding the Fourth Proportional to 9,958.38, 13,747.23 and 5,765.82

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Solution

The fourth proportional to 9,958.38, 13,747.23 and 5,765.82 is: 7,959.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.38 : 13,747.23 = 5,765.82 : x
  2. Step 2: Convert to fraction form
    9,958.38/13,747.23 = 5,765.82/x
  3. Step 3: Cross multiply
    9,958.38x = 13,747.23 × 5,765.82
  4. Step 4: Simplify right side
    9,958.38x = 79,264,053.68
  5. Step 5: Solve for x
    x = 79,264,053.68/9,958.38
  6. Step 6: Final answer
    x = 7,959.53

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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.