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Finding the Fourth Proportional to 7,250.24, 9,983.07 and 6,348.83

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Solution

The fourth proportional to 7,250.24, 9,983.07 and 6,348.83 is: 8,741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,250.24 : 9,983.07 = 6,348.83 : x
  2. Step 2: Convert to fraction form
    7,250.24/9,983.07 = 6,348.83/x
  3. Step 3: Cross multiply
    7,250.24x = 9,983.07 × 6,348.83
  4. Step 4: Simplify right side
    7,250.24x = 63,380,764.39
  5. Step 5: Solve for x
    x = 63,380,764.39/7,250.24
  6. Step 6: Final answer
    x = 8,741.89

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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.