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Finding the Fourth Proportional to 10,049.67, 15,049.80 and 8,283.87

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Solution

The fourth proportional to 10,049.67, 15,049.80 and 8,283.87 is: 12,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.67 : 15,049.80 = 8,283.87 : x
  2. Step 2: Convert to fraction form
    10,049.67/15,049.80 = 8,283.87/x
  3. Step 3: Cross multiply
    10,049.67x = 15,049.80 × 8,283.87
  4. Step 4: Simplify right side
    10,049.67x = 124,670,586.73
  5. Step 5: Solve for x
    x = 124,670,586.73/10,049.67
  6. Step 6: Final answer
    x = 12,405.44

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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.