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Finding the Fourth Proportional to 6,493.95, 9,741.71 and 2,545.27

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Solution

The fourth proportional to 6,493.95, 9,741.71 and 2,545.27 is: 3,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.95 : 9,741.71 = 2,545.27 : x
  2. Step 2: Convert to fraction form
    6,493.95/9,741.71 = 2,545.27/x
  3. Step 3: Cross multiply
    6,493.95x = 9,741.71 × 2,545.27
  4. Step 4: Simplify right side
    6,493.95x = 24,795,264.22
  5. Step 5: Solve for x
    x = 24,795,264.22/6,493.95
  6. Step 6: Final answer
    x = 3,818.21

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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.