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Finding the Fourth Proportional to 22,062.92, 33,103.02 and 8,213

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Solution

The fourth proportional to 22,062.92, 33,103.02 and 8,213 is: 12,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,062.92 : 33,103.02 = 8,213 : x
  2. Step 2: Convert to fraction form
    22,062.92/33,103.02 = 8,213/x
  3. Step 3: Cross multiply
    22,062.92x = 33,103.02 × 8,213
  4. Step 4: Simplify right side
    22,062.92x = 271,875,103.26
  5. Step 5: Solve for x
    x = 271,875,103.26/22,062.92
  6. Step 6: Final answer
    x = 12,322.72

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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.