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Finding the Fourth Proportional to 10,231.74, 15,343.83 and 8,044.74

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Solution

The fourth proportional to 10,231.74, 15,343.83 and 8,044.74 is: 12,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.74 : 15,343.83 = 8,044.74 : x
  2. Step 2: Convert to fraction form
    10,231.74/15,343.83 = 8,044.74/x
  3. Step 3: Cross multiply
    10,231.74x = 15,343.83 × 8,044.74
  4. Step 4: Simplify right side
    10,231.74x = 123,437,122.95
  5. Step 5: Solve for x
    x = 123,437,122.95/10,231.74
  6. Step 6: Final answer
    x = 12,064.14

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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.