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Finding the Fourth Proportional to 22,673.82, 34,011.12 and 7,883.22

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Solution

The fourth proportional to 22,673.82, 34,011.12 and 7,883.22 is: 11,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,673.82 : 34,011.12 = 7,883.22 : x
  2. Step 2: Convert to fraction form
    22,673.82/34,011.12 = 7,883.22/x
  3. Step 3: Cross multiply
    22,673.82x = 34,011.12 × 7,883.22
  4. Step 4: Simplify right side
    22,673.82x = 268,117,141.41
  5. Step 5: Solve for x
    x = 268,117,141.41/22,673.82
  6. Step 6: Final answer
    x = 11,824.97

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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.