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Finding the Fourth Proportional to 5,209.97, 7,815.34 and 1,511.97

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Solution

The fourth proportional to 5,209.97, 7,815.34 and 1,511.97 is: 2,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.97 : 7,815.34 = 1,511.97 : x
  2. Step 2: Convert to fraction form
    5,209.97/7,815.34 = 1,511.97/x
  3. Step 3: Cross multiply
    5,209.97x = 7,815.34 × 1,511.97
  4. Step 4: Simplify right side
    5,209.97x = 11,816,523.70
  5. Step 5: Solve for x
    x = 11,816,523.70/5,209.97
  6. Step 6: Final answer
    x = 2,268.06

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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.