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Finding the Fourth Proportional to 4,657.11, 6,986.14 and 1,493.44

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Solution

The fourth proportional to 4,657.11, 6,986.14 and 1,493.44 is: 2,240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.11 : 6,986.14 = 1,493.44 : x
  2. Step 2: Convert to fraction form
    4,657.11/6,986.14 = 1,493.44/x
  3. Step 3: Cross multiply
    4,657.11x = 6,986.14 × 1,493.44
  4. Step 4: Simplify right side
    4,657.11x = 10,433,359.72
  5. Step 5: Solve for x
    x = 10,433,359.72/4,657.11
  6. Step 6: Final answer
    x = 2,240.31

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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.