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Finding the Fourth Proportional to 22,638.13, 33,946.26 and 9,486.97

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Solution

The fourth proportional to 22,638.13, 33,946.26 and 9,486.97 is: 14,225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.13 : 33,946.26 = 9,486.97 : x
  2. Step 2: Convert to fraction form
    22,638.13/33,946.26 = 9,486.97/x
  3. Step 3: Cross multiply
    22,638.13x = 33,946.26 × 9,486.97
  4. Step 4: Simplify right side
    22,638.13x = 322,047,300.78
  5. Step 5: Solve for x
    x = 322,047,300.78/22,638.13
  6. Step 6: Final answer
    x = 14,225.88

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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.