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Finding the Fourth Proportional to 7,105.26, 9,805.26 and 3,962.06

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Solution

The fourth proportional to 7,105.26, 9,805.26 and 3,962.06 is: 5,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.26 : 9,805.26 = 3,962.06 : x
  2. Step 2: Convert to fraction form
    7,105.26/9,805.26 = 3,962.06/x
  3. Step 3: Cross multiply
    7,105.26x = 9,805.26 × 3,962.06
  4. Step 4: Simplify right side
    7,105.26x = 38,849,028.44
  5. Step 5: Solve for x
    x = 38,849,028.44/7,105.26
  6. Step 6: Final answer
    x = 5,467.64

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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.