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Finding the Fourth Proportional to 10,974.44, 16,478.06 and 9,498.21

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Solution

The fourth proportional to 10,974.44, 16,478.06 and 9,498.21 is: 14,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.44 : 16,478.06 = 9,498.21 : x
  2. Step 2: Convert to fraction form
    10,974.44/16,478.06 = 9,498.21/x
  3. Step 3: Cross multiply
    10,974.44x = 16,478.06 × 9,498.21
  4. Step 4: Simplify right side
    10,974.44x = 156,512,026.78
  5. Step 5: Solve for x
    x = 156,512,026.78/10,974.44
  6. Step 6: Final answer
    x = 14,261.51

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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.