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Finding the Fourth Proportional to 23,186, 34,785.72 and 6,770

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Solution

The fourth proportional to 23,186, 34,785.72 and 6,770 is: 10,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,186 : 34,785.72 = 6,770 : x
  2. Step 2: Convert to fraction form
    23,186/34,785.72 = 6,770/x
  3. Step 3: Cross multiply
    23,186x = 34,785.72 × 6,770
  4. Step 4: Simplify right side
    23,186x = 235,499,324.40
  5. Step 5: Solve for x
    x = 235,499,324.40/23,186
  6. Step 6: Final answer
    x = 10,156.96

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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.