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Finding the Fourth Proportional to 6,492.83, 9,737.22 and 2,109.38

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Solution

The fourth proportional to 6,492.83, 9,737.22 and 2,109.38 is: 3,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.83 : 9,737.22 = 2,109.38 : x
  2. Step 2: Convert to fraction form
    6,492.83/9,737.22 = 2,109.38/x
  3. Step 3: Cross multiply
    6,492.83x = 9,737.22 × 2,109.38
  4. Step 4: Simplify right side
    6,492.83x = 20,539,497.12
  5. Step 5: Solve for x
    x = 20,539,497.12/6,492.83
  6. Step 6: Final answer
    x = 3,163.41

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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.