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Finding the Fourth Proportional to 7,009.73, 9,673.39 and 3,822.97

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Solution

The fourth proportional to 7,009.73, 9,673.39 and 3,822.97 is: 5,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.73 : 9,673.39 = 3,822.97 : x
  2. Step 2: Convert to fraction form
    7,009.73/9,673.39 = 3,822.97/x
  3. Step 3: Cross multiply
    7,009.73x = 9,673.39 × 3,822.97
  4. Step 4: Simplify right side
    7,009.73x = 36,981,043.49
  5. Step 5: Solve for x
    x = 36,981,043.49/7,009.73
  6. Step 6: Final answer
    x = 5,275.67

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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.