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Finding the Fourth Proportional to 6,362.84, 9,545.65 and 2,614.64

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Solution

The fourth proportional to 6,362.84, 9,545.65 and 2,614.64 is: 3,922.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.84 : 9,545.65 = 2,614.64 : x
  2. Step 2: Convert to fraction form
    6,362.84/9,545.65 = 2,614.64/x
  3. Step 3: Cross multiply
    6,362.84x = 9,545.65 × 2,614.64
  4. Step 4: Simplify right side
    6,362.84x = 24,958,451.17
  5. Step 5: Solve for x
    x = 24,958,451.17/6,362.84
  6. Step 6: Final answer
    x = 3,922.53

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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.