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Finding the Fourth Proportional to 7,793.82, 10,733.63 and 7,293.56

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Solution

The fourth proportional to 7,793.82, 10,733.63 and 7,293.56 is: 10,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.82 : 10,733.63 = 7,293.56 : x
  2. Step 2: Convert to fraction form
    7,793.82/10,733.63 = 7,293.56/x
  3. Step 3: Cross multiply
    7,793.82x = 10,733.63 × 7,293.56
  4. Step 4: Simplify right side
    7,793.82x = 78,286,284.29
  5. Step 5: Solve for x
    x = 78,286,284.29/7,793.82
  6. Step 6: Final answer
    x = 10,044.66

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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.