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Finding the Fourth Proportional to 11,846.14, 16,347.03 and 7,369.76

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Solution

The fourth proportional to 11,846.14, 16,347.03 and 7,369.76 is: 10,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.14 : 16,347.03 = 7,369.76 : x
  2. Step 2: Convert to fraction form
    11,846.14/16,347.03 = 7,369.76/x
  3. Step 3: Cross multiply
    11,846.14x = 16,347.03 × 7,369.76
  4. Step 4: Simplify right side
    11,846.14x = 120,473,687.81
  5. Step 5: Solve for x
    x = 120,473,687.81/11,846.14
  6. Step 6: Final answer
    x = 10,169.87

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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.