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Finding the Fourth Proportional to 9,511.56, 14,254.92 and 5,119.56

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Solution

The fourth proportional to 9,511.56, 14,254.92 and 5,119.56 is: 7,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.56 : 14,254.92 = 5,119.56 : x
  2. Step 2: Convert to fraction form
    9,511.56/14,254.92 = 5,119.56/x
  3. Step 3: Cross multiply
    9,511.56x = 14,254.92 × 5,119.56
  4. Step 4: Simplify right side
    9,511.56x = 72,978,918.24
  5. Step 5: Solve for x
    x = 72,978,918.24/9,511.56
  6. Step 6: Final answer
    x = 7,672.65

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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.