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Finding the Fourth Proportional to 23,393, 35,095.58 and 6,977

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Solution

The fourth proportional to 23,393, 35,095.58 and 6,977 is: 10,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,393 : 35,095.58 = 6,977 : x
  2. Step 2: Convert to fraction form
    23,393/35,095.58 = 6,977/x
  3. Step 3: Cross multiply
    23,393x = 35,095.58 × 6,977
  4. Step 4: Simplify right side
    23,393x = 244,861,861.66
  5. Step 5: Solve for x
    x = 244,861,861.66/23,393
  6. Step 6: Final answer
    x = 10,467.31

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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.