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Finding the Fourth Proportional to 5,468.63, 8,202.96 and 1,364.63

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Solution

The fourth proportional to 5,468.63, 8,202.96 and 1,364.63 is: 2,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.63 : 8,202.96 = 1,364.63 : x
  2. Step 2: Convert to fraction form
    5,468.63/8,202.96 = 1,364.63/x
  3. Step 3: Cross multiply
    5,468.63x = 8,202.96 × 1,364.63
  4. Step 4: Simplify right side
    5,468.63x = 11,193,964.29
  5. Step 5: Solve for x
    x = 11,193,964.29/5,468.63
  6. Step 6: Final answer
    x = 2,046.94

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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.