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Finding the Fourth Proportional to 23,265, 34,903.90 and 6,849

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Solution

The fourth proportional to 23,265, 34,903.90 and 6,849 is: 10,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,265 : 34,903.90 = 6,849 : x
  2. Step 2: Convert to fraction form
    23,265/34,903.90 = 6,849/x
  3. Step 3: Cross multiply
    23,265x = 34,903.90 × 6,849
  4. Step 4: Simplify right side
    23,265x = 239,056,811.10
  5. Step 5: Solve for x
    x = 239,056,811.10/23,265
  6. Step 6: Final answer
    x = 10,275.38

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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.