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Finding the Fourth Proportional to 9,896.20, 14,838.90 and 4,046.20

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Solution

The fourth proportional to 9,896.20, 14,838.90 and 4,046.20 is: 6,067.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.20 : 14,838.90 = 4,046.20 : x
  2. Step 2: Convert to fraction form
    9,896.20/14,838.90 = 4,046.20/x
  3. Step 3: Cross multiply
    9,896.20x = 14,838.90 × 4,046.20
  4. Step 4: Simplify right side
    9,896.20x = 60,041,157.18
  5. Step 5: Solve for x
    x = 60,041,157.18/9,896.20
  6. Step 6: Final answer
    x = 6,067.09

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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.