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Finding the Fourth Proportional to 7,027.96, 9,698.10 and 3,884.38

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Solution

The fourth proportional to 7,027.96, 9,698.10 and 3,884.38 is: 5,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.96 : 9,698.10 = 3,884.38 : x
  2. Step 2: Convert to fraction form
    7,027.96/9,698.10 = 3,884.38/x
  3. Step 3: Cross multiply
    7,027.96x = 9,698.10 × 3,884.38
  4. Step 4: Simplify right side
    7,027.96x = 37,671,105.68
  5. Step 5: Solve for x
    x = 37,671,105.68/7,027.96
  6. Step 6: Final answer
    x = 5,360.18

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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.