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Finding the Fourth Proportional to 34,407, 51,619.17 and 9,783

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Solution

The fourth proportional to 34,407, 51,619.17 and 9,783 is: 14,676.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,407 : 51,619.17 = 9,783 : x
  2. Step 2: Convert to fraction form
    34,407/51,619.17 = 9,783/x
  3. Step 3: Cross multiply
    34,407x = 51,619.17 × 9,783
  4. Step 4: Simplify right side
    34,407x = 504,990,340.11
  5. Step 5: Solve for x
    x = 504,990,340.11/34,407
  6. Step 6: Final answer
    x = 14,676.97

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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.