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Finding the Fourth Proportional to 22,752.29, 34,126.01 and 7,961.49

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Solution

The fourth proportional to 22,752.29, 34,126.01 and 7,961.49 is: 11,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752.29 : 34,126.01 = 7,961.49 : x
  2. Step 2: Convert to fraction form
    22,752.29/34,126.01 = 7,961.49/x
  3. Step 3: Cross multiply
    22,752.29x = 34,126.01 × 7,961.49
  4. Step 4: Simplify right side
    22,752.29x = 271,693,877.40
  5. Step 5: Solve for x
    x = 271,693,877.40/22,752.29
  6. Step 6: Final answer
    x = 11,941.38

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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.