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Finding the Fourth Proportional to 7,882.98, 11,825.68 and 2,335.74

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Solution

The fourth proportional to 7,882.98, 11,825.68 and 2,335.74 is: 3,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.98 : 11,825.68 = 2,335.74 : x
  2. Step 2: Convert to fraction form
    7,882.98/11,825.68 = 2,335.74/x
  3. Step 3: Cross multiply
    7,882.98x = 11,825.68 × 2,335.74
  4. Step 4: Simplify right side
    7,882.98x = 27,621,713.80
  5. Step 5: Solve for x
    x = 27,621,713.80/7,882.98
  6. Step 6: Final answer
    x = 3,503.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.