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Finding the Fourth Proportional to 22,934.31, 34,406.88 and 7,138.60

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Solution

The fourth proportional to 22,934.31, 34,406.88 and 7,138.60 is: 10,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,934.31 : 34,406.88 = 7,138.60 : x
  2. Step 2: Convert to fraction form
    22,934.31/34,406.88 = 7,138.60/x
  3. Step 3: Cross multiply
    22,934.31x = 34,406.88 × 7,138.60
  4. Step 4: Simplify right side
    22,934.31x = 245,616,953.57
  5. Step 5: Solve for x
    x = 245,616,953.57/22,934.31
  6. Step 6: Final answer
    x = 10,709.59

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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.