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Finding the Fourth Proportional to 19,737, 29,605.50 and 6,586.38

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Solution

The fourth proportional to 19,737, 29,605.50 and 6,586.38 is: 9,879.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,737 : 29,605.50 = 6,586.38 : x
  2. Step 2: Convert to fraction form
    19,737/29,605.50 = 6,586.38/x
  3. Step 3: Cross multiply
    19,737x = 29,605.50 × 6,586.38
  4. Step 4: Simplify right side
    19,737x = 194,993,073.09
  5. Step 5: Solve for x
    x = 194,993,073.09/19,737
  6. Step 6: Final answer
    x = 9,879.57

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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.