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Finding the Fourth Proportional to 7,105.07, 9,805.07 and 3,918.48

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Solution

The fourth proportional to 7,105.07, 9,805.07 and 3,918.48 is: 5,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.07 : 9,805.07 = 3,918.48 : x
  2. Step 2: Convert to fraction form
    7,105.07/9,805.07 = 3,918.48/x
  3. Step 3: Cross multiply
    7,105.07x = 9,805.07 × 3,918.48
  4. Step 4: Simplify right side
    7,105.07x = 38,420,921.68
  5. Step 5: Solve for x
    x = 38,420,921.68/7,105.07
  6. Step 6: Final answer
    x = 5,407.54

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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.