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Finding the Fourth Proportional to 5,252.84, 7,883.36 and 1,966.87

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Solution

The fourth proportional to 5,252.84, 7,883.36 and 1,966.87 is: 2,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.84 : 7,883.36 = 1,966.87 : x
  2. Step 2: Convert to fraction form
    5,252.84/7,883.36 = 1,966.87/x
  3. Step 3: Cross multiply
    5,252.84x = 7,883.36 × 1,966.87
  4. Step 4: Simplify right side
    5,252.84x = 15,505,544.28
  5. Step 5: Solve for x
    x = 15,505,544.28/5,252.84
  6. Step 6: Final answer
    x = 2,951.84

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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.