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Finding the Fourth Proportional to 23,083.17, 34,619.78 and 7,289.43

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Solution

The fourth proportional to 23,083.17, 34,619.78 and 7,289.43 is: 10,932.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,083.17 : 34,619.78 = 7,289.43 : x
  2. Step 2: Convert to fraction form
    23,083.17/34,619.78 = 7,289.43/x
  3. Step 3: Cross multiply
    23,083.17x = 34,619.78 × 7,289.43
  4. Step 4: Simplify right side
    23,083.17x = 252,358,426.48
  5. Step 5: Solve for x
    x = 252,358,426.48/23,083.17
  6. Step 6: Final answer
    x = 10,932.57

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1.5x scale

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.