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Finding the Fourth Proportional to 9,447.70, 14,163.79 and 6,477.94

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Solution

The fourth proportional to 9,447.70, 14,163.79 and 6,477.94 is: 9,711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.70 : 14,163.79 = 6,477.94 : x
  2. Step 2: Convert to fraction form
    9,447.70/14,163.79 = 6,477.94/x
  3. Step 3: Cross multiply
    9,447.70x = 14,163.79 × 6,477.94
  4. Step 4: Simplify right side
    9,447.70x = 91,752,181.79
  5. Step 5: Solve for x
    x = 91,752,181.79/9,447.70
  6. Step 6: Final answer
    x = 9,711.59

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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.