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Finding the Fourth Proportional to 7,009.80, 9,673.44 and 3,865.92

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Solution

The fourth proportional to 7,009.80, 9,673.44 and 3,865.92 is: 5,334.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.80 : 9,673.44 = 3,865.92 : x
  2. Step 2: Convert to fraction form
    7,009.80/9,673.44 = 3,865.92/x
  3. Step 3: Cross multiply
    7,009.80x = 9,673.44 × 3,865.92
  4. Step 4: Simplify right side
    7,009.80x = 37,396,745.16
  5. Step 5: Solve for x
    x = 37,396,745.16/7,009.80
  6. Step 6: Final answer
    x = 5,334.92

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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.