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Finding the Fourth Proportional to 10,754.70, 14,840.15 and 5,974.62

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Solution

The fourth proportional to 10,754.70, 14,840.15 and 5,974.62 is: 8,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.70 : 14,840.15 = 5,974.62 : x
  2. Step 2: Convert to fraction form
    10,754.70/14,840.15 = 5,974.62/x
  3. Step 3: Cross multiply
    10,754.70x = 14,840.15 × 5,974.62
  4. Step 4: Simplify right side
    10,754.70x = 88,664,227.12
  5. Step 5: Solve for x
    x = 88,664,227.12/10,754.70
  6. Step 6: Final answer
    x = 8,244.23

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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.