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Finding the Fourth Proportional to 6,543.48, 9,790.98 and 3,912.44

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Solution

The fourth proportional to 6,543.48, 9,790.98 and 3,912.44 is: 5,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.48 : 9,790.98 = 3,912.44 : x
  2. Step 2: Convert to fraction form
    6,543.48/9,790.98 = 3,912.44/x
  3. Step 3: Cross multiply
    6,543.48x = 9,790.98 × 3,912.44
  4. Step 4: Simplify right side
    6,543.48x = 38,306,621.79
  5. Step 5: Solve for x
    x = 38,306,621.79/6,543.48
  6. Step 6: Final answer
    x = 5,854.17

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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.