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Finding the Fourth Proportional to 7,958.88, 12,002 and 7,849.44

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Solution

The fourth proportional to 7,958.88, 12,002 and 7,849.44 is: 11,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.88 : 12,002 = 7,849.44 : x
  2. Step 2: Convert to fraction form
    7,958.88/12,002 = 7,849.44/x
  3. Step 3: Cross multiply
    7,958.88x = 12,002 × 7,849.44
  4. Step 4: Simplify right side
    7,958.88x = 94,208,978.88
  5. Step 5: Solve for x
    x = 94,208,978.88/7,958.88
  6. Step 6: Final answer
    x = 11,836.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.