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Finding the Fourth Proportional to 5,698.50, 7,863.94 and 3,214.50

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Solution

The fourth proportional to 5,698.50, 7,863.94 and 3,214.50 is: 4,436.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.50 : 7,863.94 = 3,214.50 : x
  2. Step 2: Convert to fraction form
    5,698.50/7,863.94 = 3,214.50/x
  3. Step 3: Cross multiply
    5,698.50x = 7,863.94 × 3,214.50
  4. Step 4: Simplify right side
    5,698.50x = 25,278,635.13
  5. Step 5: Solve for x
    x = 25,278,635.13/5,698.50
  6. Step 6: Final answer
    x = 4,436.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.