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Finding the Fourth Proportional to 7,494.70, 11,242.14 and 1,947.73

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Solution

The fourth proportional to 7,494.70, 11,242.14 and 1,947.73 is: 2,921.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.70 : 11,242.14 = 1,947.73 : x
  2. Step 2: Convert to fraction form
    7,494.70/11,242.14 = 1,947.73/x
  3. Step 3: Cross multiply
    7,494.70x = 11,242.14 × 1,947.73
  4. Step 4: Simplify right side
    7,494.70x = 21,896,653.34
  5. Step 5: Solve for x
    x = 21,896,653.34/7,494.70
  6. Step 6: Final answer
    x = 2,921.62

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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.