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Finding the Fourth Proportional to 4,493.61, 6,198.12 and 4,121.82

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Solution

The fourth proportional to 4,493.61, 6,198.12 and 4,121.82 is: 5,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.61 : 6,198.12 = 4,121.82 : x
  2. Step 2: Convert to fraction form
    4,493.61/6,198.12 = 4,121.82/x
  3. Step 3: Cross multiply
    4,493.61x = 6,198.12 × 4,121.82
  4. Step 4: Simplify right side
    4,493.61x = 25,547,534.98
  5. Step 5: Solve for x
    x = 25,547,534.98/4,493.61
  6. Step 6: Final answer
    x = 5,685.30

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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.