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Finding the Fourth Proportional to 6,936.76, 9,577.74 and 4,287.80

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Solution

The fourth proportional to 6,936.76, 9,577.74 and 4,287.80 is: 5,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.76 : 9,577.74 = 4,287.80 : x
  2. Step 2: Convert to fraction form
    6,936.76/9,577.74 = 4,287.80/x
  3. Step 3: Cross multiply
    6,936.76x = 9,577.74 × 4,287.80
  4. Step 4: Simplify right side
    6,936.76x = 41,067,433.57
  5. Step 5: Solve for x
    x = 41,067,433.57/6,936.76
  6. Step 6: Final answer
    x = 5,920.26

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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.