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Finding the Fourth Proportional to 7,882.57, 11,824.16 and 2,951.70

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Solution

The fourth proportional to 7,882.57, 11,824.16 and 2,951.70 is: 4,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.57 : 11,824.16 = 2,951.70 : x
  2. Step 2: Convert to fraction form
    7,882.57/11,824.16 = 2,951.70/x
  3. Step 3: Cross multiply
    7,882.57x = 11,824.16 × 2,951.70
  4. Step 4: Simplify right side
    7,882.57x = 34,901,373.07
  5. Step 5: Solve for x
    x = 34,901,373.07/7,882.57
  6. Step 6: Final answer
    x = 4,427.66

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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.