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Finding the Fourth Proportional to 25,235.30, 37,850.91 and 6,516

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Solution

The fourth proportional to 25,235.30, 37,850.91 and 6,516 is: 9,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,235.30 : 37,850.91 = 6,516 : x
  2. Step 2: Convert to fraction form
    25,235.30/37,850.91 = 6,516/x
  3. Step 3: Cross multiply
    25,235.30x = 37,850.91 × 6,516
  4. Step 4: Simplify right side
    25,235.30x = 246,636,529.56
  5. Step 5: Solve for x
    x = 246,636,529.56/25,235.30
  6. Step 6: Final answer
    x = 9,773.48

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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.