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Finding the Fourth Proportional to 7,109.03, 9,809.96 and 3,922.14

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Solution

The fourth proportional to 7,109.03, 9,809.96 and 3,922.14 is: 5,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.03 : 9,809.96 = 3,922.14 : x
  2. Step 2: Convert to fraction form
    7,109.03/9,809.96 = 3,922.14/x
  3. Step 3: Cross multiply
    7,109.03x = 9,809.96 × 3,922.14
  4. Step 4: Simplify right side
    7,109.03x = 38,476,020.57
  5. Step 5: Solve for x
    x = 38,476,020.57/7,109.03
  6. Step 6: Final answer
    x = 5,412.27

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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.