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Finding the Fourth Proportional to 9,750.68, 13,455.92 and 5,274.44

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Solution

The fourth proportional to 9,750.68, 13,455.92 and 5,274.44 is: 7,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.68 : 13,455.92 = 5,274.44 : x
  2. Step 2: Convert to fraction form
    9,750.68/13,455.92 = 5,274.44/x
  3. Step 3: Cross multiply
    9,750.68x = 13,455.92 × 5,274.44
  4. Step 4: Simplify right side
    9,750.68x = 70,972,375.41
  5. Step 5: Solve for x
    x = 70,972,375.41/9,750.68
  6. Step 6: Final answer
    x = 7,278.71

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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.