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Finding the Fourth Proportional to 7,022.64, 9,691.26 and 3,878.84

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Solution

The fourth proportional to 7,022.64, 9,691.26 and 3,878.84 is: 5,352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.64 : 9,691.26 = 3,878.84 : x
  2. Step 2: Convert to fraction form
    7,022.64/9,691.26 = 3,878.84/x
  3. Step 3: Cross multiply
    7,022.64x = 9,691.26 × 3,878.84
  4. Step 4: Simplify right side
    7,022.64x = 37,590,846.94
  5. Step 5: Solve for x
    x = 37,590,846.94/7,022.64
  6. Step 6: Final answer
    x = 5,352.81

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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.