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Finding the Fourth Proportional to 5,953.64, 8,212.11 and 3,825.82

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Solution

The fourth proportional to 5,953.64, 8,212.11 and 3,825.82 is: 5,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.64 : 8,212.11 = 3,825.82 : x
  2. Step 2: Convert to fraction form
    5,953.64/8,212.11 = 3,825.82/x
  3. Step 3: Cross multiply
    5,953.64x = 8,212.11 × 3,825.82
  4. Step 4: Simplify right side
    5,953.64x = 31,418,054.68
  5. Step 5: Solve for x
    x = 31,418,054.68/5,953.64
  6. Step 6: Final answer
    x = 5,277.12

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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.