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Finding the Fourth Proportional to 9,441.74, 14,169.90 and 3,897.70

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Solution

The fourth proportional to 9,441.74, 14,169.90 and 3,897.70 is: 5,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.74 : 14,169.90 = 3,897.70 : x
  2. Step 2: Convert to fraction form
    9,441.74/14,169.90 = 3,897.70/x
  3. Step 3: Cross multiply
    9,441.74x = 14,169.90 × 3,897.70
  4. Step 4: Simplify right side
    9,441.74x = 55,230,019.23
  5. Step 5: Solve for x
    x = 55,230,019.23/9,441.74
  6. Step 6: Final answer
    x = 5,849.56

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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.