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Finding the Fourth Proportional to 9,286.80, 13,901.04 and 6,932.76

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Solution

The fourth proportional to 9,286.80, 13,901.04 and 6,932.76 is: 10,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.80 : 13,901.04 = 6,932.76 : x
  2. Step 2: Convert to fraction form
    9,286.80/13,901.04 = 6,932.76/x
  3. Step 3: Cross multiply
    9,286.80x = 13,901.04 × 6,932.76
  4. Step 4: Simplify right side
    9,286.80x = 96,372,574.07
  5. Step 5: Solve for x
    x = 96,372,574.07/9,286.80
  6. Step 6: Final answer
    x = 10,377.37

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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.