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Finding the Fourth Proportional to 6,543.44, 9,800.31 and 3,249.17

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Solution

The fourth proportional to 6,543.44, 9,800.31 and 3,249.17 is: 4,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.44 : 9,800.31 = 3,249.17 : x
  2. Step 2: Convert to fraction form
    6,543.44/9,800.31 = 3,249.17/x
  3. Step 3: Cross multiply
    6,543.44x = 9,800.31 × 3,249.17
  4. Step 4: Simplify right side
    6,543.44x = 31,842,873.24
  5. Step 5: Solve for x
    x = 31,842,873.24/6,543.44
  6. Step 6: Final answer
    x = 4,866.38

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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.