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Finding the Fourth Proportional to 22,322.88, 33,484.32 and 8,471.88

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Solution

The fourth proportional to 22,322.88, 33,484.32 and 8,471.88 is: 12,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,322.88 : 33,484.32 = 8,471.88 : x
  2. Step 2: Convert to fraction form
    22,322.88/33,484.32 = 8,471.88/x
  3. Step 3: Cross multiply
    22,322.88x = 33,484.32 × 8,471.88
  4. Step 4: Simplify right side
    22,322.88x = 283,675,140.92
  5. Step 5: Solve for x
    x = 283,675,140.92/22,322.88
  6. Step 6: Final answer
    x = 12,707.82

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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.