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Finding the Fourth Proportional to 34,318, 51,485.64 and 9,694

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Solution

The fourth proportional to 34,318, 51,485.64 and 9,694 is: 14,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,318 : 51,485.64 = 9,694 : x
  2. Step 2: Convert to fraction form
    34,318/51,485.64 = 9,694/x
  3. Step 3: Cross multiply
    34,318x = 51,485.64 × 9,694
  4. Step 4: Simplify right side
    34,318x = 499,101,794.16
  5. Step 5: Solve for x
    x = 499,101,794.16/34,318
  6. Step 6: Final answer
    x = 14,543.44

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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.