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Finding the Fourth Proportional to 9,493.71, 14,241.69 and 3,950.80

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Solution

The fourth proportional to 9,493.71, 14,241.69 and 3,950.80 is: 5,926.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.71 : 14,241.69 = 3,950.80 : x
  2. Step 2: Convert to fraction form
    9,493.71/14,241.69 = 3,950.80/x
  3. Step 3: Cross multiply
    9,493.71x = 14,241.69 × 3,950.80
  4. Step 4: Simplify right side
    9,493.71x = 56,266,068.85
  5. Step 5: Solve for x
    x = 56,266,068.85/9,493.71
  6. Step 6: Final answer
    x = 5,926.67

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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.