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Finding the Fourth Proportional to 6,474.80, 9,710.15 and 2,091.22

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Solution

The fourth proportional to 6,474.80, 9,710.15 and 2,091.22 is: 3,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.80 : 9,710.15 = 2,091.22 : x
  2. Step 2: Convert to fraction form
    6,474.80/9,710.15 = 2,091.22/x
  3. Step 3: Cross multiply
    6,474.80x = 9,710.15 × 2,091.22
  4. Step 4: Simplify right side
    6,474.80x = 20,306,025.15
  5. Step 5: Solve for x
    x = 20,306,025.15/6,474.80
  6. Step 6: Final answer
    x = 3,136.16

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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.