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Finding the Fourth Proportional to 9,493.09, 14,220.49 and 7,948.53

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Solution

The fourth proportional to 9,493.09, 14,220.49 and 7,948.53 is: 11,906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.09 : 14,220.49 = 7,948.53 : x
  2. Step 2: Convert to fraction form
    9,493.09/14,220.49 = 7,948.53/x
  3. Step 3: Cross multiply
    9,493.09x = 14,220.49 × 7,948.53
  4. Step 4: Simplify right side
    9,493.09x = 113,031,991.38
  5. Step 5: Solve for x
    x = 113,031,991.38/9,493.09
  6. Step 6: Final answer
    x = 11,906.76

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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.