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Finding the Fourth Proportional to 7,472.72, 11,200.44 and 3,966.14

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Solution

The fourth proportional to 7,472.72, 11,200.44 and 3,966.14 is: 5,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.72 : 11,200.44 = 3,966.14 : x
  2. Step 2: Convert to fraction form
    7,472.72/11,200.44 = 3,966.14/x
  3. Step 3: Cross multiply
    7,472.72x = 11,200.44 × 3,966.14
  4. Step 4: Simplify right side
    7,472.72x = 44,422,513.10
  5. Step 5: Solve for x
    x = 44,422,513.10/7,472.72
  6. Step 6: Final answer
    x = 5,944.62

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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.