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Finding the Fourth Proportional to 11,967.72, 16,516.35 and 6,933.30

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Solution

The fourth proportional to 11,967.72, 16,516.35 and 6,933.30 is: 9,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.72 : 16,516.35 = 6,933.30 : x
  2. Step 2: Convert to fraction form
    11,967.72/16,516.35 = 6,933.30/x
  3. Step 3: Cross multiply
    11,967.72x = 16,516.35 × 6,933.30
  4. Step 4: Simplify right side
    11,967.72x = 114,512,809.46
  5. Step 5: Solve for x
    x = 114,512,809.46/11,967.72
  6. Step 6: Final answer
    x = 9,568.47

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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.