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Finding the Fourth Proportional to 19,000, 26,219.52 and 10,616.56

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Solution

The fourth proportional to 19,000, 26,219.52 and 10,616.56 is: 14,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,000 : 26,219.52 = 10,616.56 : x
  2. Step 2: Convert to fraction form
    19,000/26,219.52 = 10,616.56/x
  3. Step 3: Cross multiply
    19,000x = 26,219.52 × 10,616.56
  4. Step 4: Simplify right side
    19,000x = 278,361,107.25
  5. Step 5: Solve for x
    x = 278,361,107.25/19,000
  6. Step 6: Final answer
    x = 14,650.58

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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.