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Finding the Fourth Proportional to 23,134, 34,698.42 and 6,494.68

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Solution

The fourth proportional to 23,134, 34,698.42 and 6,494.68 is: 9,741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,134 : 34,698.42 = 6,494.68 : x
  2. Step 2: Convert to fraction form
    23,134/34,698.42 = 6,494.68/x
  3. Step 3: Cross multiply
    23,134x = 34,698.42 × 6,494.68
  4. Step 4: Simplify right side
    23,134x = 225,355,134.41
  5. Step 5: Solve for x
    x = 225,355,134.41/23,134
  6. Step 6: Final answer
    x = 9,741.30

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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.