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Finding the Fourth Proportional to 34,396, 51,597 and 9,772

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Solution

The fourth proportional to 34,396, 51,597 and 9,772 is: 14,658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,396 : 51,597 = 9,772 : x
  2. Step 2: Convert to fraction form
    34,396/51,597 = 9,772/x
  3. Step 3: Cross multiply
    34,396x = 51,597 × 9,772
  4. Step 4: Simplify right side
    34,396x = 504,205,884
  5. Step 5: Solve for x
    x = 504,205,884/34,396
  6. Step 6: Final answer
    x = 14,658.85

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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.