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Finding the Fourth Proportional to 8,322.82, 11,471.80 and 5,900.98

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Solution

The fourth proportional to 8,322.82, 11,471.80 and 5,900.98 is: 8,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.82 : 11,471.80 = 5,900.98 : x
  2. Step 2: Convert to fraction form
    8,322.82/11,471.80 = 5,900.98/x
  3. Step 3: Cross multiply
    8,322.82x = 11,471.80 × 5,900.98
  4. Step 4: Simplify right side
    8,322.82x = 67,694,862.36
  5. Step 5: Solve for x
    x = 67,694,862.36/8,322.82
  6. Step 6: Final answer
    x = 8,133.64

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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.