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Finding the Fourth Proportional to 15,193.95, 20,974.05 and 9,227.54

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Solution

The fourth proportional to 15,193.95, 20,974.05 and 9,227.54 is: 12,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193.95 : 20,974.05 = 9,227.54 : x
  2. Step 2: Convert to fraction form
    15,193.95/20,974.05 = 9,227.54/x
  3. Step 3: Cross multiply
    15,193.95x = 20,974.05 × 9,227.54
  4. Step 4: Simplify right side
    15,193.95x = 193,538,885.34
  5. Step 5: Solve for x
    x = 193,538,885.34/15,193.95
  6. Step 6: Final answer
    x = 12,737.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.