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Finding the Fourth Proportional to 7,471.77, 11,205.21 and 2,473.20

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Solution

The fourth proportional to 7,471.77, 11,205.21 and 2,473.20 is: 3,708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.77 : 11,205.21 = 2,473.20 : x
  2. Step 2: Convert to fraction form
    7,471.77/11,205.21 = 2,473.20/x
  3. Step 3: Cross multiply
    7,471.77x = 11,205.21 × 2,473.20
  4. Step 4: Simplify right side
    7,471.77x = 27,712,725.37
  5. Step 5: Solve for x
    x = 27,712,725.37/7,471.77
  6. Step 6: Final answer
    x = 3,708.99

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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.