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Finding the Fourth Proportional to 22,706.17, 34,046.90 and 7,911.11

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Solution

The fourth proportional to 22,706.17, 34,046.90 and 7,911.11 is: 11,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.17 : 34,046.90 = 7,911.11 : x
  2. Step 2: Convert to fraction form
    22,706.17/34,046.90 = 7,911.11/x
  3. Step 3: Cross multiply
    22,706.17x = 34,046.90 × 7,911.11
  4. Step 4: Simplify right side
    22,706.17x = 269,348,846.29
  5. Step 5: Solve for x
    x = 269,348,846.29/22,706.17
  6. Step 6: Final answer
    x = 11,862.36

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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.