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Finding the Fourth Proportional to 13,951.32, 20,927.09 and 5,186.22

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Solution

The fourth proportional to 13,951.32, 20,927.09 and 5,186.22 is: 7,779.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,951.32 : 20,927.09 = 5,186.22 : x
  2. Step 2: Convert to fraction form
    13,951.32/20,927.09 = 5,186.22/x
  3. Step 3: Cross multiply
    13,951.32x = 20,927.09 × 5,186.22
  4. Step 4: Simplify right side
    13,951.32x = 108,532,492.70
  5. Step 5: Solve for x
    x = 108,532,492.70/13,951.32
  6. Step 6: Final answer
    x = 7,779.37

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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.