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Finding the Fourth Proportional to 6,474.66, 9,711.18 and 2,091.66

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Solution

The fourth proportional to 6,474.66, 9,711.18 and 2,091.66 is: 3,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.66 : 9,711.18 = 2,091.66 : x
  2. Step 2: Convert to fraction form
    6,474.66/9,711.18 = 2,091.66/x
  3. Step 3: Cross multiply
    6,474.66x = 9,711.18 × 2,091.66
  4. Step 4: Simplify right side
    6,474.66x = 20,312,486.76
  5. Step 5: Solve for x
    x = 20,312,486.76/6,474.66
  6. Step 6: Final answer
    x = 3,137.23

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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.