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Finding the Fourth Proportional to 15,498.44, 21,388 and 8,424.88

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Solution

The fourth proportional to 15,498.44, 21,388 and 8,424.88 is: 11,626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,498.44 : 21,388 = 8,424.88 : x
  2. Step 2: Convert to fraction form
    15,498.44/21,388 = 8,424.88/x
  3. Step 3: Cross multiply
    15,498.44x = 21,388 × 8,424.88
  4. Step 4: Simplify right side
    15,498.44x = 180,191,333.44
  5. Step 5: Solve for x
    x = 180,191,333.44/15,498.44
  6. Step 6: Final answer
    x = 11,626.42

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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.