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Finding the Fourth Proportional to 11,014.70, 16,474.05 and 9,853.10

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Solution

The fourth proportional to 11,014.70, 16,474.05 and 9,853.10 is: 14,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014.70 : 16,474.05 = 9,853.10 : x
  2. Step 2: Convert to fraction form
    11,014.70/16,474.05 = 9,853.10/x
  3. Step 3: Cross multiply
    11,014.70x = 16,474.05 × 9,853.10
  4. Step 4: Simplify right side
    11,014.70x = 162,320,462.06
  5. Step 5: Solve for x
    x = 162,320,462.06/11,014.70
  6. Step 6: Final answer
    x = 14,736.71

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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.