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Finding the Fourth Proportional to 10,122.70, 13,963.70 and 5,930.14

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Solution

The fourth proportional to 10,122.70, 13,963.70 and 5,930.14 is: 8,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.70 : 13,963.70 = 5,930.14 : x
  2. Step 2: Convert to fraction form
    10,122.70/13,963.70 = 5,930.14/x
  3. Step 3: Cross multiply
    10,122.70x = 13,963.70 × 5,930.14
  4. Step 4: Simplify right side
    10,122.70x = 82,806,695.92
  5. Step 5: Solve for x
    x = 82,806,695.92/10,122.70
  6. Step 6: Final answer
    x = 8,180.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.