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Finding the Fourth Proportional to 34,400, 51,608.67 and 9,776

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Solution

The fourth proportional to 34,400, 51,608.67 and 9,776 is: 14,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,400 : 51,608.67 = 9,776 : x
  2. Step 2: Convert to fraction form
    34,400/51,608.67 = 9,776/x
  3. Step 3: Cross multiply
    34,400x = 51,608.67 × 9,776
  4. Step 4: Simplify right side
    34,400x = 504,526,357.92
  5. Step 5: Solve for x
    x = 504,526,357.92/34,400
  6. Step 6: Final answer
    x = 14,666.46

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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.