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Finding the Fourth Proportional to 24,194.81, 36,292.22 and 6,664.64

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Solution

The fourth proportional to 24,194.81, 36,292.22 and 6,664.64 is: 9,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.81 : 36,292.22 = 6,664.64 : x
  2. Step 2: Convert to fraction form
    24,194.81/36,292.22 = 6,664.64/x
  3. Step 3: Cross multiply
    24,194.81x = 36,292.22 × 6,664.64
  4. Step 4: Simplify right side
    24,194.81x = 241,874,663.50
  5. Step 5: Solve for x
    x = 241,874,663.50/24,194.81
  6. Step 6: Final answer
    x = 9,996.96

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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.