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Finding the Fourth Proportional to 9,447, 14,171.09 and 2,873.67

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Solution

The fourth proportional to 9,447, 14,171.09 and 2,873.67 is: 4,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447 : 14,171.09 = 2,873.67 : x
  2. Step 2: Convert to fraction form
    9,447/14,171.09 = 2,873.67/x
  3. Step 3: Cross multiply
    9,447x = 14,171.09 × 2,873.67
  4. Step 4: Simplify right side
    9,447x = 40,723,021.83
  5. Step 5: Solve for x
    x = 40,723,021.83/9,447
  6. Step 6: Final answer
    x = 4,310.68

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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.