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Finding the Fourth Proportional to 11,946.60, 16,467.12 and 9,424.44

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Solution

The fourth proportional to 11,946.60, 16,467.12 and 9,424.44 is: 12,990.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.60 : 16,467.12 = 9,424.44 : x
  2. Step 2: Convert to fraction form
    11,946.60/16,467.12 = 9,424.44/x
  3. Step 3: Cross multiply
    11,946.60x = 16,467.12 × 9,424.44
  4. Step 4: Simplify right side
    11,946.60x = 155,193,384.41
  5. Step 5: Solve for x
    x = 155,193,384.41/11,946.60
  6. Step 6: Final answer
    x = 12,990.59

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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.