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Finding the Fourth Proportional to 23,461.97, 35,194.88 and 6,821.97

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Solution

The fourth proportional to 23,461.97, 35,194.88 and 6,821.97 is: 10,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461.97 : 35,194.88 = 6,821.97 : x
  2. Step 2: Convert to fraction form
    23,461.97/35,194.88 = 6,821.97/x
  3. Step 3: Cross multiply
    23,461.97x = 35,194.88 × 6,821.97
  4. Step 4: Simplify right side
    23,461.97x = 240,098,300.59
  5. Step 5: Solve for x
    x = 240,098,300.59/23,461.97
  6. Step 6: Final answer
    x = 10,233.51

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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.