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Finding the Fourth Proportional to 9,846.63, 14,753.49 and 6,919.69

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Solution

The fourth proportional to 9,846.63, 14,753.49 and 6,919.69 is: 10,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.63 : 14,753.49 = 6,919.69 : x
  2. Step 2: Convert to fraction form
    9,846.63/14,753.49 = 6,919.69/x
  3. Step 3: Cross multiply
    9,846.63x = 14,753.49 × 6,919.69
  4. Step 4: Simplify right side
    9,846.63x = 102,089,577.22
  5. Step 5: Solve for x
    x = 102,089,577.22/9,846.63
  6. Step 6: Final answer
    x = 10,367.97

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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.