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Finding the Fourth Proportional to 7,098.09, 9,795.31 and 3,954.25

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Solution

The fourth proportional to 7,098.09, 9,795.31 and 3,954.25 is: 5,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.09 : 9,795.31 = 3,954.25 : x
  2. Step 2: Convert to fraction form
    7,098.09/9,795.31 = 3,954.25/x
  3. Step 3: Cross multiply
    7,098.09x = 9,795.31 × 3,954.25
  4. Step 4: Simplify right side
    7,098.09x = 38,733,104.57
  5. Step 5: Solve for x
    x = 38,733,104.57/7,098.09
  6. Step 6: Final answer
    x = 5,456.83

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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.