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Finding the Fourth Proportional to 23,085, 34,633.26 and 6,669

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Solution

The fourth proportional to 23,085, 34,633.26 and 6,669 is: 10,005.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085 : 34,633.26 = 6,669 : x
  2. Step 2: Convert to fraction form
    23,085/34,633.26 = 6,669/x
  3. Step 3: Cross multiply
    23,085x = 34,633.26 × 6,669
  4. Step 4: Simplify right side
    23,085x = 230,969,210.94
  5. Step 5: Solve for x
    x = 230,969,210.94/23,085
  6. Step 6: Final answer
    x = 10,005.16

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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.