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Finding the Fourth Proportional to 23,164.80, 34,744.98 and 6,524.58

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Solution

The fourth proportional to 23,164.80, 34,744.98 and 6,524.58 is: 9,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.80 : 34,744.98 = 6,524.58 : x
  2. Step 2: Convert to fraction form
    23,164.80/34,744.98 = 6,524.58/x
  3. Step 3: Cross multiply
    23,164.80x = 34,744.98 × 6,524.58
  4. Step 4: Simplify right side
    23,164.80x = 226,696,401.61
  5. Step 5: Solve for x
    x = 226,696,401.61/23,164.80
  6. Step 6: Final answer
    x = 9,786.24

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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.